What is the Least Common Multiple of 86006 and 86017?

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 86006 and 86017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86006 and 86017, than apply into the LCM equation.

GCF(86006,86017) = 1
LCM(86006,86017) = ( 86006 × 86017) / 1
LCM(86006,86017) = 7397978102 / 1
LCM(86006,86017) = 7397978102

Least Common Multiple (LCM) of 86006 and 86017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86006 and 86017. First we will calculate the prime factors of 86006 and 86017.

Prime Factorization of 86006

Prime Factorization of 86017

Now multiplying the highest exponent prime factors to calculate the LCM of 86006 and 86017.

LCM(86006,86017) = 2¹ × 43003¹ × 86017¹
LCM(86006,86017) = 7397978102