What is the Least Common Multiple of 2724 and 2741?

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 2724 and 2741 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2724 and 2741, than apply into the LCM equation.

GCF(2724,2741) = 1
LCM(2724,2741) = ( 2724 × 2741) / 1
LCM(2724,2741) = 7466484 / 1
LCM(2724,2741) = 7466484

Least Common Multiple (LCM) of 2724 and 2741 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2724 and 2741. First we will calculate the prime factors of 2724 and 2741.

Prime Factorization of 2724

Prime Factorization of 2741

Now multiplying the highest exponent prime factors to calculate the LCM of 2724 and 2741.

LCM(2724,2741) = 2² × 3¹ × 227¹ × 2741¹
LCM(2724,2741) = 7466484