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What is the Least Common Multiple of 25488 and 25508?

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 25488 and 25508 is 162536976.

LCM(25488,25508) = 162536976

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Least Common Multiple of 25488 and 25508 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25488 and 25508, than apply into the LCM equation.

GCF(25488,25508) = 4
LCM(25488,25508) = ( 25488 × 25508) / 4
LCM(25488,25508) = 650147904 / 4
LCM(25488,25508) = 162536976

Least Common Multiple (LCM) of 25488 and 25508 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25488 and 25508. First we will calculate the prime factors of 25488 and 25508.

Prime Factorization of 25488

Prime factors of 25488 are 2, 3, 59. Prime factorization of 25488 in exponential form is:

25488 = 24 × 33 × 591

Prime Factorization of 25508

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

25508 = 22 × 71 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 25488 and 25508.

LCM(25488,25508) = 24 × 33 × 591 × 71 × 9111
LCM(25488,25508) = 162536976