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What is the Least Common Multiple of 25360 and 25371?

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 25360 and 25371 is 643408560.

LCM(25360,25371) = 643408560

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Least Common Multiple of 25360 and 25371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25360 and 25371, than apply into the LCM equation.

GCF(25360,25371) = 1
LCM(25360,25371) = ( 25360 × 25371) / 1
LCM(25360,25371) = 643408560 / 1
LCM(25360,25371) = 643408560

Least Common Multiple (LCM) of 25360 and 25371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25360 and 25371. First we will calculate the prime factors of 25360 and 25371.

Prime Factorization of 25360

Prime factors of 25360 are 2, 5, 317. Prime factorization of 25360 in exponential form is:

25360 = 24 × 51 × 3171

Prime Factorization of 25371

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

25371 = 32 × 28191

Now multiplying the highest exponent prime factors to calculate the LCM of 25360 and 25371.

LCM(25360,25371) = 24 × 51 × 3171 × 32 × 28191
LCM(25360,25371) = 643408560