What is the Least Common Multiple of 58038 and 58044?

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 58038 and 58044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58038 and 58044, than apply into the LCM equation.

GCF(58038,58044) = 6
LCM(58038,58044) = ( 58038 × 58044) / 6
LCM(58038,58044) = 3368757672 / 6
LCM(58038,58044) = 561459612

Least Common Multiple (LCM) of 58038 and 58044 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58038 and 58044. First we will calculate the prime factors of 58038 and 58044.

Prime Factorization of 58038

Prime Factorization of 58044

Now multiplying the highest exponent prime factors to calculate the LCM of 58038 and 58044.

LCM(58038,58044) = 2² × 3¹ × 17¹ × 569¹ × 7¹ × 691¹
LCM(58038,58044) = 561459612