What is the Least Common Multiple of 41712 and 41728?

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 41728 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 41728, than apply into the LCM equation.

GCF(41712,41728) = 16
LCM(41712,41728) = ( 41712 × 41728) / 16
LCM(41712,41728) = 1740558336 / 16
LCM(41712,41728) = 108784896

Least Common Multiple (LCM) of 41712 and 41728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41712 and 41728. First we will calculate the prime factors of 41712 and 41728.

Prime Factorization of 41712

Prime Factorization of 41728

Now multiplying the highest exponent prime factors to calculate the LCM of 41712 and 41728.

LCM(41712,41728) = 2⁸ × 3¹ × 11¹ × 79¹ × 163¹
LCM(41712,41728) = 108784896