What is the Least Common Multiple of 41148 and 41166?

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 41148 and 41166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41148 and 41166, than apply into the LCM equation.

GCF(41148,41166) = 18
LCM(41148,41166) = ( 41148 × 41166) / 18
LCM(41148,41166) = 1693898568 / 18
LCM(41148,41166) = 94105476

Least Common Multiple (LCM) of 41148 and 41166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41148 and 41166. First we will calculate the prime factors of 41148 and 41166.

Prime Factorization of 41148

Prime Factorization of 41166

Now multiplying the highest exponent prime factors to calculate the LCM of 41148 and 41166.

LCM(41148,41166) = 2² × 3⁴ × 127¹ × 2287¹
LCM(41148,41166) = 94105476