What is the Least Common Multiple of 93664 and 93676?

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 93664 and 93676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93664 and 93676, than apply into the LCM equation.

GCF(93664,93676) = 4
LCM(93664,93676) = ( 93664 × 93676) / 4
LCM(93664,93676) = 8774068864 / 4
LCM(93664,93676) = 2193517216

Least Common Multiple (LCM) of 93664 and 93676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93664 and 93676. First we will calculate the prime factors of 93664 and 93676.

Prime Factorization of 93664

Prime Factorization of 93676

Now multiplying the highest exponent prime factors to calculate the LCM of 93664 and 93676.

LCM(93664,93676) = 2⁵ × 2927¹ × 11¹ × 2129¹
LCM(93664,93676) = 2193517216