What is the Least Common Multiple of 2646 and 2660?

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 2646 and 2660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2646 and 2660, than apply into the LCM equation.

GCF(2646,2660) = 14
LCM(2646,2660) = ( 2646 × 2660) / 14
LCM(2646,2660) = 7038360 / 14
LCM(2646,2660) = 502740

Least Common Multiple (LCM) of 2646 and 2660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2646 and 2660. First we will calculate the prime factors of 2646 and 2660.

Prime Factorization of 2646

Prime Factorization of 2660

Now multiplying the highest exponent prime factors to calculate the LCM of 2646 and 2660.

LCM(2646,2660) = 2² × 3³ × 7² × 5¹ × 19¹
LCM(2646,2660) = 502740