LCM of 15 and also 25 is the smallest number amongst all usual multiples that 15 and also 25. The first couple of multiples that 15 and also 25 space (15, 30, 45, 60, 75, . . . ) and (25, 50, 75, 100, 125, 150, 175, . . . ) respectively. There space 3 commonly used approaches to discover LCM the 15 and also 25 - by listing multiples, by department method, and also by element factorization.

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1.LCM that 15 and also 25
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 15 and also 25 is 75.

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Explanation:

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


The methods to discover the LCM that 15 and 25 are explained below.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM that 15 and also 25 by element Factorization

Prime factorization of 15 and 25 is (3 × 5) = 31 × 51 and also (5 × 5) = 52 respectively. LCM that 15 and also 25 have the right to be acquired by multiply prime components raised to their respective highest power, i.e. 31 × 52 = 75.Hence, the LCM of 15 and 25 by prime factorization is 75.

LCM of 15 and 25 by Listing Multiples

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To calculation the LCM that 15 and 25 by listing out the typical multiples, we have the right to follow the given listed below steps:

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

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

LCM the 15 and also 25 by division Method

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To calculate the LCM that 15 and 25 through the division method, we will divide the numbers(15, 25) by your prime factors (preferably common). The product of these divisors gives the LCM of 15 and also 25.

Step 3: continue the procedures until only 1s are 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.