What is the Least Common Multiple of 58329 and 58347?

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 58329 and 58347 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58329 and 58347, than apply into the LCM equation.

GCF(58329,58347) = 9
LCM(58329,58347) = ( 58329 × 58347) / 9
LCM(58329,58347) = 3403322163 / 9
LCM(58329,58347) = 378146907

Least Common Multiple (LCM) of 58329 and 58347 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58329 and 58347. First we will calculate the prime factors of 58329 and 58347.

Prime Factorization of 58329

Prime Factorization of 58347

Now multiplying the highest exponent prime factors to calculate the LCM of 58329 and 58347.

LCM(58329,58347) = 3³ × 6481¹ × 2161¹
LCM(58329,58347) = 378146907