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What is the Least Common Multiple of 28637 and 28646?

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 28637 and 28646 is 820335502.

LCM(28637,28646) = 820335502

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Least Common Multiple of 28637 and 28646 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28637 and 28646, than apply into the LCM equation.

GCF(28637,28646) = 1
LCM(28637,28646) = ( 28637 × 28646) / 1
LCM(28637,28646) = 820335502 / 1
LCM(28637,28646) = 820335502

Least Common Multiple (LCM) of 28637 and 28646 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28637 and 28646. First we will calculate the prime factors of 28637 and 28646.

Prime Factorization of 28637

Prime factors of 28637 are 7, 4091. Prime factorization of 28637 in exponential form is:

28637 = 71 × 40911

Prime Factorization of 28646

Prime factors of 28646 are 2, 14323. Prime factorization of 28646 in exponential form is:

28646 = 21 × 143231

Now multiplying the highest exponent prime factors to calculate the LCM of 28637 and 28646.

LCM(28637,28646) = 71 × 40911 × 21 × 143231
LCM(28637,28646) = 820335502