What is the Least Common Multiple of 2728 and 2736?

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 2728 and 2736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2728 and 2736, than apply into the LCM equation.

GCF(2728,2736) = 8
LCM(2728,2736) = ( 2728 × 2736) / 8
LCM(2728,2736) = 7463808 / 8
LCM(2728,2736) = 932976

Least Common Multiple (LCM) of 2728 and 2736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2728 and 2736. First we will calculate the prime factors of 2728 and 2736.

Prime Factorization of 2728

Prime Factorization of 2736

Now multiplying the highest exponent prime factors to calculate the LCM of 2728 and 2736.

LCM(2728,2736) = 2⁴ × 11¹ × 31¹ × 3² × 19¹
LCM(2728,2736) = 932976