What is the Least Common Multiple of 58323 and 58338?

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 58323 and 58338 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58323 and 58338, than apply into the LCM equation.

GCF(58323,58338) = 3
LCM(58323,58338) = ( 58323 × 58338) / 3
LCM(58323,58338) = 3402447174 / 3
LCM(58323,58338) = 1134149058

Least Common Multiple (LCM) of 58323 and 58338 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58323 and 58338. First we will calculate the prime factors of 58323 and 58338.

Prime Factorization of 58323

Prime Factorization of 58338

Now multiplying the highest exponent prime factors to calculate the LCM of 58323 and 58338.

LCM(58323,58338) = 3² × 19441¹ × 2¹ × 7¹ × 463¹
LCM(58323,58338) = 1134149058