LCM the 15 and also 25 is the the smallest number amongst all common multiples that 15 and also 25. The first few multiples that 15 and 25 space (15, 30, 45, 60, 75, . . . ) and also (25, 50, 75, 100, 125, 150, 175, . . . ) respectively. There space 3 frequently used methods to uncover LCM the 15 and 25 - by listing multiples, by department method, and by element factorization.

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 1 LCM the 15 and also 25 2 List the Methods 3 Solved Examples 4 FAQs

Answer: LCM the 15 and also 25 is 75.

Explanation:

The LCM of 2 non-zero integers, x(15) and also y(25), is the smallest confident integer m(75) that is divisible by both x(15) and also y(25) without any type of remainder.

The approaches to find the LCM of 15 and 25 are described below.

By element Factorization MethodBy Listing MultiplesBy division Method

### LCM of 15 and 25 by prime Factorization

Prime administrate of 15 and also 25 is (3 × 5) = 31 × 51 and also (5 × 5) = 52 respectively. LCM of 15 and 25 deserve to be acquired by multiply prime determinants raised to your respective highest possible power, i.e. 31 × 52 = 75.Hence, the LCM the 15 and 25 by element factorization is 75.

### LCM of 15 and 25 through Listing Multiples

To calculate the LCM of 15 and also 25 by listing the end the common multiples, we deserve to follow the given listed below steps:

Step 1: perform a couple of multiples that 15 (15, 30, 45, 60, 75, . . . ) and 25 (25, 50, 75, 100, 125, 150, 175, . . . . )Step 2: The typical multiples indigenous the multiples of 15 and also 25 space 75, 150, . . .Step 3: The smallest typical multiple of 15 and 25 is 75.

∴ The least common multiple of 15 and 25 = 75.

### LCM the 15 and 25 by department Method

To calculation the LCM of 15 and also 25 through the department method, we will divide the numbers(15, 25) by your prime determinants (preferably common). The product of this divisors provides the LCM of 15 and 25.

Step 3: continue the steps until only 1s space left in the last row.

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The LCM of 15 and also 25 is the product of all prime numbers on the left, i.e. LCM(15, 25) by division method = 3 × 5 × 5 = 75.