What is the Least Common Multiple of 71728 and 71736?

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 71728 and 71736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 71728 and 71736, than apply into the LCM equation.

GCF(71728,71736) = 8
LCM(71728,71736) = ( 71728 × 71736) / 8
LCM(71728,71736) = 5145479808 / 8
LCM(71728,71736) = 643184976

Least Common Multiple (LCM) of 71728 and 71736 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 71728 and 71736. First we will calculate the prime factors of 71728 and 71736.

Prime Factorization of 71728

Prime Factorization of 71736

Now multiplying the highest exponent prime factors to calculate the LCM of 71728 and 71736.

LCM(71728,71736) = 2⁴ × 4483¹ × 3¹ × 7² × 61¹
LCM(71728,71736) = 643184976