What is the Least Common Multiple of 83158 and 83166?

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 83158 and 83166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83158 and 83166, than apply into the LCM equation.

GCF(83158,83166) = 2
LCM(83158,83166) = ( 83158 × 83166) / 2
LCM(83158,83166) = 6915918228 / 2
LCM(83158,83166) = 3457959114

Least Common Multiple (LCM) of 83158 and 83166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83158 and 83166. First we will calculate the prime factors of 83158 and 83166.

Prime Factorization of 83158

Prime Factorization of 83166

Now multiplying the highest exponent prime factors to calculate the LCM of 83158 and 83166.

LCM(83158,83166) = 2¹ × 41579¹ × 3¹ × 83¹ × 167¹
LCM(83158,83166) = 3457959114