What is the Least Common Multiple of 93664 and 93672?

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 93672 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 93672, than apply into the LCM equation.

GCF(93664,93672) = 8
LCM(93664,93672) = ( 93664 × 93672) / 8
LCM(93664,93672) = 8773694208 / 8
LCM(93664,93672) = 1096711776

Least Common Multiple (LCM) of 93664 and 93672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93664 and 93672. First we will calculate the prime factors of 93664 and 93672.

Prime Factorization of 93664

Prime Factorization of 93672

Now multiplying the highest exponent prime factors to calculate the LCM of 93664 and 93672.

LCM(93664,93672) = 2⁵ × 2927¹ × 3² × 1301¹
LCM(93664,93672) = 1096711776