What is the Least Common Multiple of 58683 and 58698?

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 58683 and 58698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58683 and 58698, than apply into the LCM equation.

GCF(58683,58698) = 3
LCM(58683,58698) = ( 58683 × 58698) / 3
LCM(58683,58698) = 3444574734 / 3
LCM(58683,58698) = 1148191578

Least Common Multiple (LCM) of 58683 and 58698 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58683 and 58698. First we will calculate the prime factors of 58683 and 58698.

Prime Factorization of 58683

Prime Factorization of 58698

Now multiplying the highest exponent prime factors to calculate the LCM of 58683 and 58698.

LCM(58683,58698) = 3³ × 31¹ × 631¹ × 2¹ × 1087¹
LCM(58683,58698) = 1148191578