What is the Least Common Multiple of 72039 and 72048?

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 72039 and 72048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72039 and 72048, than apply into the LCM equation.

GCF(72039,72048) = 3
LCM(72039,72048) = ( 72039 × 72048) / 3
LCM(72039,72048) = 5190265872 / 3
LCM(72039,72048) = 1730088624

Least Common Multiple (LCM) of 72039 and 72048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72039 and 72048. First we will calculate the prime factors of 72039 and 72048.

Prime Factorization of 72039

Prime Factorization of 72048

Now multiplying the highest exponent prime factors to calculate the LCM of 72039 and 72048.

LCM(72039,72048) = 3¹ × 11¹ × 37¹ × 59¹ × 2⁴ × 19¹ × 79¹
LCM(72039,72048) = 1730088624