What is the Least Common Multiple of 72012 and 72017?

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 72012 and 72017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72012 and 72017, than apply into the LCM equation.

GCF(72012,72017) = 1
LCM(72012,72017) = ( 72012 × 72017) / 1
LCM(72012,72017) = 5186088204 / 1
LCM(72012,72017) = 5186088204

Least Common Multiple (LCM) of 72012 and 72017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72012 and 72017. First we will calculate the prime factors of 72012 and 72017.

Prime Factorization of 72012

Prime Factorization of 72017

Now multiplying the highest exponent prime factors to calculate the LCM of 72012 and 72017.

LCM(72012,72017) = 2² × 3¹ × 17¹ × 353¹ × 11¹ × 6547¹
LCM(72012,72017) = 5186088204