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What is the Least Common Multiple of 25508 and 25512?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 25508 and 25512 is 162690024.

LCM(25508,25512) = 162690024

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Least Common Multiple of 25508 and 25512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25508 and 25512, than apply into the LCM equation.

GCF(25508,25512) = 4
LCM(25508,25512) = ( 25508 × 25512) / 4
LCM(25508,25512) = 650760096 / 4
LCM(25508,25512) = 162690024

Least Common Multiple (LCM) of 25508 and 25512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25508 and 25512. First we will calculate the prime factors of 25508 and 25512.

Prime Factorization of 25508

Prime factors of 25508 are 2, 7, 911. Prime factorization of 25508 in exponential form is:

25508 = 22 × 71 × 9111

Prime Factorization of 25512

Prime factors of 25512 are 2, 3, 1063. Prime factorization of 25512 in exponential form is:

25512 = 23 × 31 × 10631

Now multiplying the highest exponent prime factors to calculate the LCM of 25508 and 25512.

LCM(25508,25512) = 23 × 71 × 9111 × 31 × 10631
LCM(25508,25512) = 162690024