What is the Least Common Multiple of 91944 and 91952?

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 91944 and 91952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91944 and 91952, than apply into the LCM equation.

GCF(91944,91952) = 8
LCM(91944,91952) = ( 91944 × 91952) / 8
LCM(91944,91952) = 8454434688 / 8
LCM(91944,91952) = 1056804336

Least Common Multiple (LCM) of 91944 and 91952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91944 and 91952. First we will calculate the prime factors of 91944 and 91952.

Prime Factorization of 91944

Prime Factorization of 91952

Now multiplying the highest exponent prime factors to calculate the LCM of 91944 and 91952.

LCM(91944,91952) = 2⁴ × 3² × 1277¹ × 7¹ × 821¹
LCM(91944,91952) = 1056804336