What is the Least Common Multiple of 41728 and 41748?

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 41728 and 41748 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41728 and 41748, than apply into the LCM equation.

GCF(41728,41748) = 4
LCM(41728,41748) = ( 41728 × 41748) / 4
LCM(41728,41748) = 1742060544 / 4
LCM(41728,41748) = 435515136

Least Common Multiple (LCM) of 41728 and 41748 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41728 and 41748. First we will calculate the prime factors of 41728 and 41748.

Prime Factorization of 41728

Prime Factorization of 41748

Now multiplying the highest exponent prime factors to calculate the LCM of 41728 and 41748.

LCM(41728,41748) = 2⁸ × 163¹ × 3¹ × 7² × 71¹
LCM(41728,41748) = 435515136