What is the Least Common Multiple of 2976 and 2989?

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 2976 and 2989 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2976 and 2989, than apply into the LCM equation.

GCF(2976,2989) = 1
LCM(2976,2989) = ( 2976 × 2989) / 1
LCM(2976,2989) = 8895264 / 1
LCM(2976,2989) = 8895264

Least Common Multiple (LCM) of 2976 and 2989 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2976 and 2989. First we will calculate the prime factors of 2976 and 2989.

Prime Factorization of 2976

Prime Factorization of 2989

Now multiplying the highest exponent prime factors to calculate the LCM of 2976 and 2989.

LCM(2976,2989) = 2⁵ × 3¹ × 31¹ × 7² × 61¹
LCM(2976,2989) = 8895264