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What is the Least Common Multiple of 28619 and 28627?

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 28619 and 28627 is 819276113.

LCM(28619,28627) = 819276113

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Least Common Multiple of 28619 and 28627 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28619 and 28627, than apply into the LCM equation.

GCF(28619,28627) = 1
LCM(28619,28627) = ( 28619 × 28627) / 1
LCM(28619,28627) = 819276113 / 1
LCM(28619,28627) = 819276113

Least Common Multiple (LCM) of 28619 and 28627 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28619 and 28627. First we will calculate the prime factors of 28619 and 28627.

Prime Factorization of 28619

Prime factors of 28619 are 28619. Prime factorization of 28619 in exponential form is:

28619 = 286191

Prime Factorization of 28627

Prime factors of 28627 are 28627. Prime factorization of 28627 in exponential form is:

28627 = 286271

Now multiplying the highest exponent prime factors to calculate the LCM of 28619 and 28627.

LCM(28619,28627) = 286191 × 286271
LCM(28619,28627) = 819276113