What is the Least Common Multiple of 66724 and 66728?

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 66724 and 66728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66724 and 66728, than apply into the LCM equation.

GCF(66724,66728) = 4
LCM(66724,66728) = ( 66724 × 66728) / 4
LCM(66724,66728) = 4452359072 / 4
LCM(66724,66728) = 1113089768

Least Common Multiple (LCM) of 66724 and 66728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 66724 and 66728. First we will calculate the prime factors of 66724 and 66728.

Prime Factorization of 66724

Prime Factorization of 66728

Now multiplying the highest exponent prime factors to calculate the LCM of 66724 and 66728.

LCM(66724,66728) = 2³ × 7¹ × 2383¹ × 19¹ × 439¹
LCM(66724,66728) = 1113089768