What is the Least Common Multiple of 84012 and 84017?

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 84012 and 84017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84012 and 84017, than apply into the LCM equation.

GCF(84012,84017) = 1
LCM(84012,84017) = ( 84012 × 84017) / 1
LCM(84012,84017) = 7058436204 / 1
LCM(84012,84017) = 7058436204

Least Common Multiple (LCM) of 84012 and 84017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84012 and 84017. First we will calculate the prime factors of 84012 and 84017.

Prime Factorization of 84012

Prime Factorization of 84017

Now multiplying the highest exponent prime factors to calculate the LCM of 84012 and 84017.

LCM(84012,84017) = 2² × 3¹ × 7001¹ × 84017¹
LCM(84012,84017) = 7058436204