What is the Least Common Multiple of 81150 and 81166?

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 81150 and 81166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81150 and 81166, than apply into the LCM equation.

GCF(81150,81166) = 2
LCM(81150,81166) = ( 81150 × 81166) / 2
LCM(81150,81166) = 6586620900 / 2
LCM(81150,81166) = 3293310450

Least Common Multiple (LCM) of 81150 and 81166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81150 and 81166. First we will calculate the prime factors of 81150 and 81166.

Prime Factorization of 81150

Prime Factorization of 81166

Now multiplying the highest exponent prime factors to calculate the LCM of 81150 and 81166.

LCM(81150,81166) = 2¹ × 3¹ × 5² × 541¹ × 40583¹
LCM(81150,81166) = 3293310450