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What is the Least Common Multiple of 93674 and 93687?

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 93674 and 93687 is 8776036038.

LCM(93674,93687) = 8776036038

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Least Common Multiple of 93674 and 93687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93674 and 93687, than apply into the LCM equation.

GCF(93674,93687) = 1
LCM(93674,93687) = ( 93674 × 93687) / 1
LCM(93674,93687) = 8776036038 / 1
LCM(93674,93687) = 8776036038

Least Common Multiple (LCM) of 93674 and 93687 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93674 and 93687. First we will calculate the prime factors of 93674 and 93687.

Prime Factorization of 93674

Prime factors of 93674 are 2, 7, 6691. Prime factorization of 93674 in exponential form is:

93674 = 21 × 71 × 66911

Prime Factorization of 93687

Prime factors of 93687 are 3, 11, 17, 167. Prime factorization of 93687 in exponential form is:

93687 = 31 × 111 × 171 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 93674 and 93687.

LCM(93674,93687) = 21 × 71 × 66911 × 31 × 111 × 171 × 1671
LCM(93674,93687) = 8776036038