What is the Least Common Multiple of 2976 and 2985?

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 2985 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 2985, than apply into the LCM equation.

GCF(2976,2985) = 3
LCM(2976,2985) = ( 2976 × 2985) / 3
LCM(2976,2985) = 8883360 / 3
LCM(2976,2985) = 2961120

Least Common Multiple (LCM) of 2976 and 2985 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2976 and 2985. First we will calculate the prime factors of 2976 and 2985.

Prime Factorization of 2976

Prime Factorization of 2985

Now multiplying the highest exponent prime factors to calculate the LCM of 2976 and 2985.

LCM(2976,2985) = 2⁵ × 3¹ × 31¹ × 5¹ × 199¹
LCM(2976,2985) = 2961120