What is the Least Common Multiple of 2646 and 2653?

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 2653 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 2653, than apply into the LCM equation.

GCF(2646,2653) = 7
LCM(2646,2653) = ( 2646 × 2653) / 7
LCM(2646,2653) = 7019838 / 7
LCM(2646,2653) = 1002834

Least Common Multiple (LCM) of 2646 and 2653 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2646 and 2653. First we will calculate the prime factors of 2646 and 2653.

Prime Factorization of 2646

Prime Factorization of 2653

Now multiplying the highest exponent prime factors to calculate the LCM of 2646 and 2653.

LCM(2646,2653) = 2¹ × 3³ × 7² × 379¹
LCM(2646,2653) = 1002834