What is the Least Common Multiple of 2736 and 2749?

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 2736 and 2749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2736 and 2749, than apply into the LCM equation.

GCF(2736,2749) = 1
LCM(2736,2749) = ( 2736 × 2749) / 1
LCM(2736,2749) = 7521264 / 1
LCM(2736,2749) = 7521264

Least Common Multiple (LCM) of 2736 and 2749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2736 and 2749. First we will calculate the prime factors of 2736 and 2749.

Prime Factorization of 2736

Prime Factorization of 2749

Now multiplying the highest exponent prime factors to calculate the LCM of 2736 and 2749.

LCM(2736,2749) = 2⁴ × 3² × 19¹ × 2749¹
LCM(2736,2749) = 7521264