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What is the Least Common Multiple of 28664 and 28675?

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 28664 and 28675 is 821940200.

LCM(28664,28675) = 821940200

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Least Common Multiple of 28664 and 28675 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28664 and 28675, than apply into the LCM equation.

GCF(28664,28675) = 1
LCM(28664,28675) = ( 28664 × 28675) / 1
LCM(28664,28675) = 821940200 / 1
LCM(28664,28675) = 821940200

Least Common Multiple (LCM) of 28664 and 28675 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28664 and 28675. First we will calculate the prime factors of 28664 and 28675.

Prime Factorization of 28664

Prime factors of 28664 are 2, 3583. Prime factorization of 28664 in exponential form is:

28664 = 23 × 35831

Prime Factorization of 28675

Prime factors of 28675 are 5, 31, 37. Prime factorization of 28675 in exponential form is:

28675 = 52 × 311 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 28664 and 28675.

LCM(28664,28675) = 23 × 35831 × 52 × 311 × 371
LCM(28664,28675) = 821940200