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What is the Least Common Multiple of 28625 and 28631?

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 28625 and 28631 is 819562375.

LCM(28625,28631) = 819562375

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Least Common Multiple of 28625 and 28631 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28625 and 28631, than apply into the LCM equation.

GCF(28625,28631) = 1
LCM(28625,28631) = ( 28625 × 28631) / 1
LCM(28625,28631) = 819562375 / 1
LCM(28625,28631) = 819562375

Least Common Multiple (LCM) of 28625 and 28631 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28625 and 28631. First we will calculate the prime factors of 28625 and 28631.

Prime Factorization of 28625

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

28625 = 53 × 2291

Prime Factorization of 28631

Prime factors of 28631 are 28631. Prime factorization of 28631 in exponential form is:

28631 = 286311

Now multiplying the highest exponent prime factors to calculate the LCM of 28625 and 28631.

LCM(28625,28631) = 53 × 2291 × 286311
LCM(28625,28631) = 819562375