What is the Least Common Multiple of 58938 and 58944?

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 58938 and 58944 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58938 and 58944, than apply into the LCM equation.

GCF(58938,58944) = 6
LCM(58938,58944) = ( 58938 × 58944) / 6
LCM(58938,58944) = 3474041472 / 6
LCM(58938,58944) = 579006912

Least Common Multiple (LCM) of 58938 and 58944 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58938 and 58944. First we will calculate the prime factors of 58938 and 58944.

Prime Factorization of 58938

Prime Factorization of 58944

Now multiplying the highest exponent prime factors to calculate the LCM of 58938 and 58944.

LCM(58938,58944) = 2⁶ × 3¹ × 11¹ × 19¹ × 47¹ × 307¹
LCM(58938,58944) = 579006912