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What is the Least Common Multiple of 38631 and 38635?

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 38631 and 38635 is 1492508685.

LCM(38631,38635) = 1492508685

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Least Common Multiple of 38631 and 38635 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 38631 and 38635, than apply into the LCM equation.

GCF(38631,38635) = 1
LCM(38631,38635) = ( 38631 × 38635) / 1
LCM(38631,38635) = 1492508685 / 1
LCM(38631,38635) = 1492508685

Least Common Multiple (LCM) of 38631 and 38635 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 38631 and 38635. First we will calculate the prime factors of 38631 and 38635.

Prime Factorization of 38631

Prime factors of 38631 are 3, 79, 163. Prime factorization of 38631 in exponential form is:

38631 = 31 × 791 × 1631

Prime Factorization of 38635

Prime factors of 38635 are 5, 7727. Prime factorization of 38635 in exponential form is:

38635 = 51 × 77271

Now multiplying the highest exponent prime factors to calculate the LCM of 38631 and 38635.

LCM(38631,38635) = 31 × 791 × 1631 × 51 × 77271
LCM(38631,38635) = 1492508685