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What is the Least Common Multiple of 93687 and 93697?

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 93687 and 93697 is 8778190839.

LCM(93687,93697) = 8778190839

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Least Common Multiple of 93687 and 93697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93687 and 93697, than apply into the LCM equation.

GCF(93687,93697) = 1
LCM(93687,93697) = ( 93687 × 93697) / 1
LCM(93687,93697) = 8778190839 / 1
LCM(93687,93697) = 8778190839

Least Common Multiple (LCM) of 93687 and 93697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93687 and 93697. First we will calculate the prime factors of 93687 and 93697.

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

Prime Factorization of 93697

Prime factors of 93697 are 43, 2179. Prime factorization of 93697 in exponential form is:

93697 = 431 × 21791

Now multiplying the highest exponent prime factors to calculate the LCM of 93687 and 93697.

LCM(93687,93697) = 31 × 111 × 171 × 1671 × 431 × 21791
LCM(93687,93697) = 8778190839