What is the Least Common Multiple of 41592 and 41608?

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 41592 and 41608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41592 and 41608, than apply into the LCM equation.

GCF(41592,41608) = 8
LCM(41592,41608) = ( 41592 × 41608) / 8
LCM(41592,41608) = 1730559936 / 8
LCM(41592,41608) = 216319992

Least Common Multiple (LCM) of 41592 and 41608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41592 and 41608. First we will calculate the prime factors of 41592 and 41608.

Prime Factorization of 41592

Prime Factorization of 41608

Now multiplying the highest exponent prime factors to calculate the LCM of 41592 and 41608.

LCM(41592,41608) = 2³ × 3¹ × 1733¹ × 7¹ × 743¹
LCM(41592,41608) = 216319992