LCM of 15 and also 25 is the smallest number among all common multiples that 15 and 25. The first few multiples that 15 and 25 are (15, 30, 45, 60, 75, . . . ) and also (25, 50, 75, 100, 125, 150, 175, . . . ) respectively. There are 3 generally used techniques to uncover LCM the 15 and also 25 - by listing multiples, by division method, and also by prime factorization.

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1.LCM the 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 positive integer m(75) the is divisible through both x(15) and y(25) without any kind of remainder.


The methods to uncover the LCM the 15 and also 25 are described below.

By prime Factorization MethodBy Listing MultiplesBy division Method

LCM the 15 and 25 by prime 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 obtained by multiplying prime determinants raised to their respective highest power, i.e. 31 × 52 = 75.Hence, the LCM of 15 and 25 by element factorization is 75.

LCM of 15 and 25 by Listing Multiples

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To calculation the LCM of 15 and 25 by listing out the usual 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 also 25 (25, 50, 75, 100, 125, 150, 175, . . . . )Step 2: The typical multiples indigenous the multiples that 15 and 25 room 75, 150, . . .Step 3: The smallest common multiple that 15 and also 25 is 75.

∴ The least usual multiple that 15 and also 25 = 75.

LCM of 15 and also 25 by division Method

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

Step 3: proceed the procedures until just 1s space left in the critical row.

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