What is the Least Common Multiple of 43712 and 43724?

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 43712 and 43724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43712 and 43724, than apply into the LCM equation.

GCF(43712,43724) = 4
LCM(43712,43724) = ( 43712 × 43724) / 4
LCM(43712,43724) = 1911263488 / 4
LCM(43712,43724) = 477815872

Least Common Multiple (LCM) of 43712 and 43724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43712 and 43724. First we will calculate the prime factors of 43712 and 43724.

Prime Factorization of 43712

Prime Factorization of 43724

Now multiplying the highest exponent prime factors to calculate the LCM of 43712 and 43724.

LCM(43712,43724) = 2⁶ × 683¹ × 17¹ × 643¹
LCM(43712,43724) = 477815872