What is the Least Common Multiple of 93324 and 93344?

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 93324 and 93344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93324 and 93344, than apply into the LCM equation.

GCF(93324,93344) = 4
LCM(93324,93344) = ( 93324 × 93344) / 4
LCM(93324,93344) = 8711235456 / 4
LCM(93324,93344) = 2177808864

Least Common Multiple (LCM) of 93324 and 93344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93324 and 93344. First we will calculate the prime factors of 93324 and 93344.

Prime Factorization of 93324

Prime Factorization of 93344

Now multiplying the highest exponent prime factors to calculate the LCM of 93324 and 93344.

LCM(93324,93344) = 2⁵ × 3¹ × 7¹ × 11¹ × 101¹ × 2917¹
LCM(93324,93344) = 2177808864