What is the Least Common Multiple of 2732 and 2739?

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 2732 and 2739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2732 and 2739, than apply into the LCM equation.

GCF(2732,2739) = 1
LCM(2732,2739) = ( 2732 × 2739) / 1
LCM(2732,2739) = 7482948 / 1
LCM(2732,2739) = 7482948

Least Common Multiple (LCM) of 2732 and 2739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2732 and 2739. First we will calculate the prime factors of 2732 and 2739.

Prime Factorization of 2732

Prime Factorization of 2739

Now multiplying the highest exponent prime factors to calculate the LCM of 2732 and 2739.

LCM(2732,2739) = 2² × 683¹ × 3¹ × 11¹ × 83¹
LCM(2732,2739) = 7482948