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What is the Least Common Multiple of 25371 and 25377?

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 25371 and 25377 is 214613289.

LCM(25371,25377) = 214613289

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Least Common Multiple of 25371 and 25377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25371 and 25377, than apply into the LCM equation.

GCF(25371,25377) = 3
LCM(25371,25377) = ( 25371 × 25377) / 3
LCM(25371,25377) = 643839867 / 3
LCM(25371,25377) = 214613289

Least Common Multiple (LCM) of 25371 and 25377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25371 and 25377. First we will calculate the prime factors of 25371 and 25377.

Prime Factorization of 25371

Prime factors of 25371 are 3, 2819. Prime factorization of 25371 in exponential form is:

25371 = 32 × 28191

Prime Factorization of 25377

Prime factors of 25377 are 3, 11, 769. Prime factorization of 25377 in exponential form is:

25377 = 31 × 111 × 7691

Now multiplying the highest exponent prime factors to calculate the LCM of 25371 and 25377.

LCM(25371,25377) = 32 × 28191 × 111 × 7691
LCM(25371,25377) = 214613289