What is the Least Common Multiple of 2675 and 2684?

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 2675 and 2684 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2675 and 2684, than apply into the LCM equation.

GCF(2675,2684) = 1
LCM(2675,2684) = ( 2675 × 2684) / 1
LCM(2675,2684) = 7179700 / 1
LCM(2675,2684) = 7179700

Least Common Multiple (LCM) of 2675 and 2684 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2675 and 2684. First we will calculate the prime factors of 2675 and 2684.

Prime Factorization of 2675

Prime Factorization of 2684

Now multiplying the highest exponent prime factors to calculate the LCM of 2675 and 2684.

LCM(2675,2684) = 5² × 107¹ × 2² × 11¹ × 61¹
LCM(2675,2684) = 7179700