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What is the Least Common Multiple of 25491 and 25504?

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 25491 and 25504 is 650122464.

LCM(25491,25504) = 650122464

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Least Common Multiple of 25491 and 25504 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25491 and 25504, than apply into the LCM equation.

GCF(25491,25504) = 1
LCM(25491,25504) = ( 25491 × 25504) / 1
LCM(25491,25504) = 650122464 / 1
LCM(25491,25504) = 650122464

Least Common Multiple (LCM) of 25491 and 25504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25491 and 25504. First we will calculate the prime factors of 25491 and 25504.

Prime Factorization of 25491

Prime factors of 25491 are 3, 29, 293. Prime factorization of 25491 in exponential form is:

25491 = 31 × 291 × 2931

Prime Factorization of 25504

Prime factors of 25504 are 2, 797. Prime factorization of 25504 in exponential form is:

25504 = 25 × 7971

Now multiplying the highest exponent prime factors to calculate the LCM of 25491 and 25504.

LCM(25491,25504) = 31 × 291 × 2931 × 25 × 7971
LCM(25491,25504) = 650122464