What is the Least Common Multiple of 2745 and 2751?

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 2745 and 2751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2745 and 2751, than apply into the LCM equation.

GCF(2745,2751) = 3
LCM(2745,2751) = ( 2745 × 2751) / 3
LCM(2745,2751) = 7551495 / 3
LCM(2745,2751) = 2517165

Least Common Multiple (LCM) of 2745 and 2751 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2745 and 2751. First we will calculate the prime factors of 2745 and 2751.

Prime Factorization of 2745

Prime Factorization of 2751

Now multiplying the highest exponent prime factors to calculate the LCM of 2745 and 2751.

LCM(2745,2751) = 3² × 5¹ × 61¹ × 7¹ × 131¹
LCM(2745,2751) = 2517165