What is the Least Common Multiple of 30039 and 30045?

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 30039 and 30045 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30039 and 30045, than apply into the LCM equation.

GCF(30039,30045) = 3
LCM(30039,30045) = ( 30039 × 30045) / 3
LCM(30039,30045) = 902521755 / 3
LCM(30039,30045) = 300840585

Least Common Multiple (LCM) of 30039 and 30045 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30039 and 30045. First we will calculate the prime factors of 30039 and 30045.

Prime Factorization of 30039

Prime Factorization of 30045

Now multiplying the highest exponent prime factors to calculate the LCM of 30039 and 30045.

LCM(30039,30045) = 3¹ × 17¹ × 19¹ × 31¹ × 5¹ × 2003¹
LCM(30039,30045) = 300840585