What is the Least Common Multiple of 41160 and 41165?

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 41160 and 41165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41160 and 41165, than apply into the LCM equation.

GCF(41160,41165) = 5
LCM(41160,41165) = ( 41160 × 41165) / 5
LCM(41160,41165) = 1694351400 / 5
LCM(41160,41165) = 338870280

Least Common Multiple (LCM) of 41160 and 41165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41160 and 41165. First we will calculate the prime factors of 41160 and 41165.

Prime Factorization of 41160

Prime Factorization of 41165

Now multiplying the highest exponent prime factors to calculate the LCM of 41160 and 41165.

LCM(41160,41165) = 2³ × 3¹ × 5¹ × 7³ × 8233¹
LCM(41160,41165) = 338870280