What is the Least Common Multiple of 93006 and 93017?

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 93006 and 93017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93006 and 93017, than apply into the LCM equation.

GCF(93006,93017) = 1
LCM(93006,93017) = ( 93006 × 93017) / 1
LCM(93006,93017) = 8651139102 / 1
LCM(93006,93017) = 8651139102

Least Common Multiple (LCM) of 93006 and 93017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93006 and 93017. First we will calculate the prime factors of 93006 and 93017.

Prime Factorization of 93006

Prime Factorization of 93017

Now multiplying the highest exponent prime factors to calculate the LCM of 93006 and 93017.

LCM(93006,93017) = 2¹ × 3² × 5167¹ × 191¹ × 487¹
LCM(93006,93017) = 8651139102