What is the Least Common Multiple of 58659 and 58678?

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 58659 and 58678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58659 and 58678, than apply into the LCM equation.

GCF(58659,58678) = 1
LCM(58659,58678) = ( 58659 × 58678) / 1
LCM(58659,58678) = 3441992802 / 1
LCM(58659,58678) = 3441992802

Least Common Multiple (LCM) of 58659 and 58678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58659 and 58678. First we will calculate the prime factors of 58659 and 58678.

Prime Factorization of 58659

Prime Factorization of 58678

Now multiplying the highest exponent prime factors to calculate the LCM of 58659 and 58678.

LCM(58659,58678) = 3¹ × 19553¹ × 2¹ × 29339¹
LCM(58659,58678) = 3441992802