What is the Least Common Multiple of 2714 and 2728?

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 2714 and 2728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2714 and 2728, than apply into the LCM equation.

GCF(2714,2728) = 2
LCM(2714,2728) = ( 2714 × 2728) / 2
LCM(2714,2728) = 7403792 / 2
LCM(2714,2728) = 3701896

Least Common Multiple (LCM) of 2714 and 2728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2714 and 2728. First we will calculate the prime factors of 2714 and 2728.

Prime Factorization of 2714

Prime Factorization of 2728

Now multiplying the highest exponent prime factors to calculate the LCM of 2714 and 2728.

LCM(2714,2728) = 2³ × 23¹ × 59¹ × 11¹ × 31¹
LCM(2714,2728) = 3701896