What is the Least Common Multiple of 2960 and 2970?

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 2960 and 2970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2960 and 2970, than apply into the LCM equation.

GCF(2960,2970) = 10
LCM(2960,2970) = ( 2960 × 2970) / 10
LCM(2960,2970) = 8791200 / 10
LCM(2960,2970) = 879120

Least Common Multiple (LCM) of 2960 and 2970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2960 and 2970. First we will calculate the prime factors of 2960 and 2970.

Prime Factorization of 2960

Prime Factorization of 2970

Now multiplying the highest exponent prime factors to calculate the LCM of 2960 and 2970.

LCM(2960,2970) = 2⁴ × 5¹ × 37¹ × 3³ × 11¹
LCM(2960,2970) = 879120