What is the Least Common Multiple of 8724 and 8728?

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 8724 and 8728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8724 and 8728, than apply into the LCM equation.

GCF(8724,8728) = 4
LCM(8724,8728) = ( 8724 × 8728) / 4
LCM(8724,8728) = 76143072 / 4
LCM(8724,8728) = 19035768

Least Common Multiple (LCM) of 8724 and 8728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8724 and 8728. First we will calculate the prime factors of 8724 and 8728.

Prime Factorization of 8724

Prime Factorization of 8728

Now multiplying the highest exponent prime factors to calculate the LCM of 8724 and 8728.

LCM(8724,8728) = 2³ × 3¹ × 727¹ × 1091¹
LCM(8724,8728) = 19035768