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What is the Least Common Multiple of 93688 and 93692?

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 93688 and 93692 is 2194454024.

LCM(93688,93692) = 2194454024

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Least Common Multiple of 93688 and 93692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93688 and 93692, than apply into the LCM equation.

GCF(93688,93692) = 4
LCM(93688,93692) = ( 93688 × 93692) / 4
LCM(93688,93692) = 8777816096 / 4
LCM(93688,93692) = 2194454024

Least Common Multiple (LCM) of 93688 and 93692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93688 and 93692. First we will calculate the prime factors of 93688 and 93692.

Prime Factorization of 93688

Prime factors of 93688 are 2, 7, 239. Prime factorization of 93688 in exponential form is:

93688 = 23 × 72 × 2391

Prime Factorization of 93692

Prime factors of 93692 are 2, 59, 397. Prime factorization of 93692 in exponential form is:

93692 = 22 × 591 × 3971

Now multiplying the highest exponent prime factors to calculate the LCM of 93688 and 93692.

LCM(93688,93692) = 23 × 72 × 2391 × 591 × 3971
LCM(93688,93692) = 2194454024