What is the Least Common Multiple of 77952 and 77968?

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 77952 and 77968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77952 and 77968, than apply into the LCM equation.

GCF(77952,77968) = 16
LCM(77952,77968) = ( 77952 × 77968) / 16
LCM(77952,77968) = 6077761536 / 16
LCM(77952,77968) = 379860096

Least Common Multiple (LCM) of 77952 and 77968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77952 and 77968. First we will calculate the prime factors of 77952 and 77968.

Prime Factorization of 77952

Prime Factorization of 77968

Now multiplying the highest exponent prime factors to calculate the LCM of 77952 and 77968.

LCM(77952,77968) = 2⁷ × 3¹ × 7¹ × 29¹ × 11¹ × 443¹
LCM(77952,77968) = 379860096