What is the Least Common Multiple of 44712 and 44728?

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 44712 and 44728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44712 and 44728, than apply into the LCM equation.

GCF(44712,44728) = 8
LCM(44712,44728) = ( 44712 × 44728) / 8
LCM(44712,44728) = 1999878336 / 8
LCM(44712,44728) = 249984792

Least Common Multiple (LCM) of 44712 and 44728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44712 and 44728. First we will calculate the prime factors of 44712 and 44728.

Prime Factorization of 44712

Prime Factorization of 44728

Now multiplying the highest exponent prime factors to calculate the LCM of 44712 and 44728.

LCM(44712,44728) = 2³ × 3⁵ × 23¹ × 5591¹
LCM(44712,44728) = 249984792