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What is the Least Common Multiple of 28631 and 28650?

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 28631 and 28650 is 820278150.

LCM(28631,28650) = 820278150

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Least Common Multiple of 28631 and 28650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28631 and 28650, than apply into the LCM equation.

GCF(28631,28650) = 1
LCM(28631,28650) = ( 28631 × 28650) / 1
LCM(28631,28650) = 820278150 / 1
LCM(28631,28650) = 820278150

Least Common Multiple (LCM) of 28631 and 28650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28631 and 28650. First we will calculate the prime factors of 28631 and 28650.

Prime Factorization of 28631

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

28631 = 286311

Prime Factorization of 28650

Prime factors of 28650 are 2, 3, 5, 191. Prime factorization of 28650 in exponential form is:

28650 = 21 × 31 × 52 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 28631 and 28650.

LCM(28631,28650) = 286311 × 21 × 31 × 52 × 1911
LCM(28631,28650) = 820278150