What is the Least Common Multiple of 72030 and 72045?

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 72030 and 72045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72030 and 72045, than apply into the LCM equation.

GCF(72030,72045) = 15
LCM(72030,72045) = ( 72030 × 72045) / 15
LCM(72030,72045) = 5189401350 / 15
LCM(72030,72045) = 345960090

Least Common Multiple (LCM) of 72030 and 72045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72030 and 72045. First we will calculate the prime factors of 72030 and 72045.

Prime Factorization of 72030

Prime Factorization of 72045

Now multiplying the highest exponent prime factors to calculate the LCM of 72030 and 72045.

LCM(72030,72045) = 2¹ × 3² × 5¹ × 7⁴ × 1601¹
LCM(72030,72045) = 345960090