What is the Least Common Multiple of 41712 and 41724?

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 41712 and 41724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41712 and 41724, than apply into the LCM equation.

GCF(41712,41724) = 12
LCM(41712,41724) = ( 41712 × 41724) / 12
LCM(41712,41724) = 1740391488 / 12
LCM(41712,41724) = 145032624

Least Common Multiple (LCM) of 41712 and 41724 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41712 and 41724. First we will calculate the prime factors of 41712 and 41724.

Prime Factorization of 41712

Prime Factorization of 41724

Now multiplying the highest exponent prime factors to calculate the LCM of 41712 and 41724.

LCM(41712,41724) = 2⁴ × 3² × 11¹ × 79¹ × 19¹ × 61¹
LCM(41712,41724) = 145032624