What is the Least Common Multiple of 77934 and 77952?

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 77934 and 77952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77934 and 77952, than apply into the LCM equation.

GCF(77934,77952) = 6
LCM(77934,77952) = ( 77934 × 77952) / 6
LCM(77934,77952) = 6075111168 / 6
LCM(77934,77952) = 1012518528

Least Common Multiple (LCM) of 77934 and 77952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77934 and 77952. First we will calculate the prime factors of 77934 and 77952.

Prime Factorization of 77934

Prime Factorization of 77952

Now multiplying the highest exponent prime factors to calculate the LCM of 77934 and 77952.

LCM(77934,77952) = 2⁷ × 3¹ × 31¹ × 419¹ × 7¹ × 29¹
LCM(77934,77952) = 1012518528