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What is the Least Common Multiple of 25372 and 25381?

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 25372 and 25381 is 643966732.

LCM(25372,25381) = 643966732

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Least Common Multiple of 25372 and 25381 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25372 and 25381, than apply into the LCM equation.

GCF(25372,25381) = 1
LCM(25372,25381) = ( 25372 × 25381) / 1
LCM(25372,25381) = 643966732 / 1
LCM(25372,25381) = 643966732

Least Common Multiple (LCM) of 25372 and 25381 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25372 and 25381. First we will calculate the prime factors of 25372 and 25381.

Prime Factorization of 25372

Prime factors of 25372 are 2, 6343. Prime factorization of 25372 in exponential form is:

25372 = 22 × 63431

Prime Factorization of 25381

Prime factors of 25381 are 17, 1493. Prime factorization of 25381 in exponential form is:

25381 = 171 × 14931

Now multiplying the highest exponent prime factors to calculate the LCM of 25372 and 25381.

LCM(25372,25381) = 22 × 63431 × 171 × 14931
LCM(25372,25381) = 643966732