LCM of 12 and also 15 is the smallest number amongst all common multiples of 12 and 15. The first few multiples of 12 and 15 space (12, 24, 36, 48, 60, 72, 84, . . . ) and (15, 30, 45, 60, . . . ) respectively. There are 3 frequently used methods to find LCM of 12 and 15 - by division method, by prime factorization, and also by listing multiples.

You are watching: What is the least common multiple of 15 and 12

1.LCM of 12 and also 15
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and 15 is 60.

*

Explanation:

The LCM of 2 non-zero integers, x(12) and y(15), is the smallest positive integer m(60) the is divisible by both x(12) and y(15) without any remainder.


The approaches to discover the LCM that 12 and also 15 are explained below.

By Listing MultiplesBy element Factorization MethodBy department Method

LCM of 12 and 15 by Listing Multiples

*

To calculate the LCM the 12 and 15 by listing out the common multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples of 12 (12, 24, 36, 48, 60, 72, 84, . . . ) and also 15 (15, 30, 45, 60, . . . . )Step 2: The typical multiples from the multiples the 12 and also 15 room 60, 120, . . .Step 3: The smallest common multiple the 12 and also 15 is 60.

∴ The least common multiple the 12 and 15 = 60.

LCM that 12 and 15 by element Factorization

Prime administrate of 12 and also 15 is (2 × 2 × 3) = 22 × 31 and also (3 × 5) = 31 × 51 respectively. LCM that 12 and 15 have the right to be acquired by multiply prime components raised to their respective highest possible power, i.e. 22 × 31 × 51 = 60.Hence, the LCM of 12 and also 15 by element factorization is 60.

LCM that 12 and 15 by division Method

*

To calculate the LCM that 12 and 15 by the division method, we will divide the numbers(12, 15) by their prime components (preferably common). The product of this divisors gives the LCM that 12 and 15.

Step 3: proceed the measures until only 1s are left in the critical row.

The LCM that 12 and 15 is the product of every prime number on the left, i.e. LCM(12, 15) by division method = 2 × 2 × 3 × 5 = 60.

☛ also Check:


*


FAQs on LCM of 12 and 15

What is the LCM of 12 and 15?

The LCM that 12 and also 15 is 60. To discover the least typical multiple (LCM) the 12 and 15, we need to find the multiples the 12 and 15 (multiples of 12 = 12, 24, 36, 48 . . . . 60; multiples of 15 = 15, 30, 45, 60) and choose the smallest multiple the is precisely divisible through 12 and also 15, i.e., 60.

Which that the following is the LCM the 12 and also 15? 36, 60, 35, 11

The value of LCM the 12, 15 is the smallest typical multiple the 12 and also 15. The number satisfying the given problem is 60.

If the LCM of 15 and also 12 is 60, uncover its GCF.

LCM(15, 12) × GCF(15, 12) = 15 × 12Since the LCM of 15 and also 12 = 60⇒ 60 × GCF(15, 12) = 180Therefore, the greatest typical factor = 180/60 = 3.

How to uncover the LCM of 12 and 15 by prime Factorization?

To find the LCM the 12 and also 15 making use of prime factorization, we will discover the element factors, (12 = 2 × 2 × 3) and also (15 = 3 × 5). LCM of 12 and 15 is the product that prime determinants raised to their respective greatest exponent amongst the number 12 and also 15.⇒ LCM that 12, 15 = 22 × 31 × 51 = 60.

See more: Which Payment Method Typically Charges The Highest Interest Rates? A Yment Types

What is the Relation in between GCF and also LCM that 12, 15?

The complying with equation can be used to to express the relation in between GCF and LCM of 12 and also 15, i.e. GCF × LCM = 12 × 15.