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What is the Least Common Multiple of 28612 and 28625?

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 28612 and 28625 is 819018500.

LCM(28612,28625) = 819018500

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Least Common Multiple of 28612 and 28625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28612 and 28625, than apply into the LCM equation.

GCF(28612,28625) = 1
LCM(28612,28625) = ( 28612 × 28625) / 1
LCM(28612,28625) = 819018500 / 1
LCM(28612,28625) = 819018500

Least Common Multiple (LCM) of 28612 and 28625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28612 and 28625. First we will calculate the prime factors of 28612 and 28625.

Prime Factorization of 28612

Prime factors of 28612 are 2, 23, 311. Prime factorization of 28612 in exponential form is:

28612 = 22 × 231 × 3111

Prime Factorization of 28625

Prime factors of 28625 are 5, 229. Prime factorization of 28625 in exponential form is:

28625 = 53 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 28612 and 28625.

LCM(28612,28625) = 22 × 231 × 3111 × 53 × 2291
LCM(28612,28625) = 819018500