What is the Least Common Multiple of 77952 and 77971?

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 77971 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 77971, than apply into the LCM equation.

GCF(77952,77971) = 1
LCM(77952,77971) = ( 77952 × 77971) / 1
LCM(77952,77971) = 6077995392 / 1
LCM(77952,77971) = 6077995392

Least Common Multiple (LCM) of 77952 and 77971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77952 and 77971. First we will calculate the prime factors of 77952 and 77971.

Prime Factorization of 77952

Prime Factorization of 77971

Now multiplying the highest exponent prime factors to calculate the LCM of 77952 and 77971.

LCM(77952,77971) = 2⁷ × 3¹ × 7¹ × 29¹ × 103¹ × 757¹
LCM(77952,77971) = 6077995392