What is the Least Common Multiple of 58072 and 58089?

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 58072 and 58089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58072 and 58089, than apply into the LCM equation.

GCF(58072,58089) = 17
LCM(58072,58089) = ( 58072 × 58089) / 17
LCM(58072,58089) = 3373344408 / 17
LCM(58072,58089) = 198432024

Least Common Multiple (LCM) of 58072 and 58089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58072 and 58089. First we will calculate the prime factors of 58072 and 58089.

Prime Factorization of 58072

Prime Factorization of 58089

Now multiplying the highest exponent prime factors to calculate the LCM of 58072 and 58089.

LCM(58072,58089) = 2³ × 7¹ × 17² × 61¹ × 3¹ × 67¹
LCM(58072,58089) = 198432024