What is the Least Common Multiple of 91056 and 91072?

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 91056 and 91072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91056 and 91072, than apply into the LCM equation.

GCF(91056,91072) = 16
LCM(91056,91072) = ( 91056 × 91072) / 16
LCM(91056,91072) = 8292652032 / 16
LCM(91056,91072) = 518290752

Least Common Multiple (LCM) of 91056 and 91072 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91056 and 91072. First we will calculate the prime factors of 91056 and 91072.

Prime Factorization of 91056

Prime Factorization of 91072

Now multiplying the highest exponent prime factors to calculate the LCM of 91056 and 91072.

LCM(91056,91072) = 2⁶ × 3¹ × 7¹ × 271¹ × 1423¹
LCM(91056,91072) = 518290752