What is the Least Common Multiple of 58023 and 58038?

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 58023 and 58038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58023 and 58038, than apply into the LCM equation.

GCF(58023,58038) = 3
LCM(58023,58038) = ( 58023 × 58038) / 3
LCM(58023,58038) = 3367538874 / 3
LCM(58023,58038) = 1122512958

Least Common Multiple (LCM) of 58023 and 58038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58023 and 58038. First we will calculate the prime factors of 58023 and 58038.

Prime Factorization of 58023

Prime Factorization of 58038

Now multiplying the highest exponent prime factors to calculate the LCM of 58023 and 58038.

LCM(58023,58038) = 3³ × 7¹ × 307¹ × 2¹ × 17¹ × 569¹
LCM(58023,58038) = 1122512958