What is the Least Common Multiple of 93376 and 93382?

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 of 93376 and 93382 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93376 and 93382, than apply into the LCM equation.

GCF(93376,93382) = 2
LCM(93376,93382) = ( 93376 × 93382) / 2
LCM(93376,93382) = 8719637632 / 2
LCM(93376,93382) = 4359818816

Least Common Multiple (LCM) of 93376 and 93382 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93376 and 93382. First we will calculate the prime factors of 93376 and 93382.

Prime Factorization of 93376

Prime Factorization of 93382

Now multiplying the highest exponent prime factors to calculate the LCM of 93376 and 93382.

LCM(93376,93382) = 2⁶ × 1459¹ × 46691¹
LCM(93376,93382) = 4359818816