What is the Least Common Multiple of 73008 and 73017?

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 73008 and 73017 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73008 and 73017, than apply into the LCM equation.

GCF(73008,73017) = 9
LCM(73008,73017) = ( 73008 × 73017) / 9
LCM(73008,73017) = 5330825136 / 9
LCM(73008,73017) = 592313904

Least Common Multiple (LCM) of 73008 and 73017 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73008 and 73017. First we will calculate the prime factors of 73008 and 73017.

Prime Factorization of 73008

Prime Factorization of 73017

Now multiplying the highest exponent prime factors to calculate the LCM of 73008 and 73017.

LCM(73008,73017) = 2⁴ × 3³ × 13² × 7¹ × 19¹ × 61¹
LCM(73008,73017) = 592313904