What is the Least Common Multiple of 41166 and 41172?

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 41166 and 41172 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41166 and 41172, than apply into the LCM equation.

GCF(41166,41172) = 6
LCM(41166,41172) = ( 41166 × 41172) / 6
LCM(41166,41172) = 1694886552 / 6
LCM(41166,41172) = 282481092

Least Common Multiple (LCM) of 41166 and 41172 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41166 and 41172. First we will calculate the prime factors of 41166 and 41172.

Prime Factorization of 41166

Prime Factorization of 41172

Now multiplying the highest exponent prime factors to calculate the LCM of 41166 and 41172.

LCM(41166,41172) = 2² × 3² × 2287¹ × 47¹ × 73¹
LCM(41166,41172) = 282481092