What is the Least Common Multiple of 2728 and 2742?

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 2742 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 2742, than apply into the LCM equation.

GCF(2728,2742) = 2
LCM(2728,2742) = ( 2728 × 2742) / 2
LCM(2728,2742) = 7480176 / 2
LCM(2728,2742) = 3740088

Least Common Multiple (LCM) of 2728 and 2742 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2728 and 2742. First we will calculate the prime factors of 2728 and 2742.

Prime Factorization of 2728

Prime Factorization of 2742

Now multiplying the highest exponent prime factors to calculate the LCM of 2728 and 2742.

LCM(2728,2742) = 2³ × 11¹ × 31¹ × 3¹ × 457¹
LCM(2728,2742) = 3740088