What is the Least Common Multiple of 56976 and 56992?

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 56976 and 56992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56976 and 56992, than apply into the LCM equation.

GCF(56976,56992) = 16
LCM(56976,56992) = ( 56976 × 56992) / 16
LCM(56976,56992) = 3247176192 / 16
LCM(56976,56992) = 202948512

Least Common Multiple (LCM) of 56976 and 56992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56976 and 56992. First we will calculate the prime factors of 56976 and 56992.

Prime Factorization of 56976

Prime Factorization of 56992

Now multiplying the highest exponent prime factors to calculate the LCM of 56976 and 56992.

LCM(56976,56992) = 2⁵ × 3¹ × 1187¹ × 13¹ × 137¹
LCM(56976,56992) = 202948512