What is the Least Common Multiple of 77984 and 77992?

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 77984 and 77992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77984 and 77992, than apply into the LCM equation.

GCF(77984,77992) = 8
LCM(77984,77992) = ( 77984 × 77992) / 8
LCM(77984,77992) = 6082128128 / 8
LCM(77984,77992) = 760266016

Least Common Multiple (LCM) of 77984 and 77992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77984 and 77992. First we will calculate the prime factors of 77984 and 77992.

Prime Factorization of 77984

Prime Factorization of 77992

Now multiplying the highest exponent prime factors to calculate the LCM of 77984 and 77992.

LCM(77984,77992) = 2⁵ × 2437¹ × 9749¹
LCM(77984,77992) = 760266016