What is the Least Common Multiple of 86148 and 86166?

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 86148 and 86166 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86148 and 86166, than apply into the LCM equation.

GCF(86148,86166) = 18
LCM(86148,86166) = ( 86148 × 86166) / 18
LCM(86148,86166) = 7423028568 / 18
LCM(86148,86166) = 412390476

Least Common Multiple (LCM) of 86148 and 86166 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86148 and 86166. First we will calculate the prime factors of 86148 and 86166.

Prime Factorization of 86148

Prime Factorization of 86166

Now multiplying the highest exponent prime factors to calculate the LCM of 86148 and 86166.

LCM(86148,86166) = 2² × 3² × 2393¹ × 4787¹
LCM(86148,86166) = 412390476