What is the Least Common Multiple of 41160 and 41164?

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 41164 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 41164, than apply into the LCM equation.

GCF(41160,41164) = 4
LCM(41160,41164) = ( 41160 × 41164) / 4
LCM(41160,41164) = 1694310240 / 4
LCM(41160,41164) = 423577560

Least Common Multiple (LCM) of 41160 and 41164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41160 and 41164. First we will calculate the prime factors of 41160 and 41164.

Prime Factorization of 41160

Prime Factorization of 41164

Now multiplying the highest exponent prime factors to calculate the LCM of 41160 and 41164.

LCM(41160,41164) = 2³ × 3¹ × 5¹ × 7³ × 41¹ × 251¹
LCM(41160,41164) = 423577560