What is the Least Common Multiple of 58068 and 58074?

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 58068 and 58074 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58068 and 58074, than apply into the LCM equation.

GCF(58068,58074) = 6
LCM(58068,58074) = ( 58068 × 58074) / 6
LCM(58068,58074) = 3372241032 / 6
LCM(58068,58074) = 562040172

Least Common Multiple (LCM) of 58068 and 58074 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58068 and 58074. First we will calculate the prime factors of 58068 and 58074.

Prime Factorization of 58068

Prime Factorization of 58074

Now multiplying the highest exponent prime factors to calculate the LCM of 58068 and 58074.

LCM(58068,58074) = 2² × 3² × 1613¹ × 9679¹
LCM(58068,58074) = 562040172