What is the Least Common Multiple of 2976 and 2980?

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 2980 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 2980, than apply into the LCM equation.

GCF(2976,2980) = 4
LCM(2976,2980) = ( 2976 × 2980) / 4
LCM(2976,2980) = 8868480 / 4
LCM(2976,2980) = 2217120

Least Common Multiple (LCM) of 2976 and 2980 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2976 and 2980. First we will calculate the prime factors of 2976 and 2980.

Prime Factorization of 2976

Prime Factorization of 2980

Now multiplying the highest exponent prime factors to calculate the LCM of 2976 and 2980.

LCM(2976,2980) = 2⁵ × 3¹ × 31¹ × 5¹ × 149¹
LCM(2976,2980) = 2217120