What is the Least Common Multiple of 58673 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 58673 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 58673 and 58678, than apply into the LCM equation.

GCF(58673,58678) = 1
LCM(58673,58678) = ( 58673 × 58678) / 1
LCM(58673,58678) = 3442814294 / 1
LCM(58673,58678) = 3442814294

Least Common Multiple (LCM) of 58673 and 58678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58673 and 58678. First we will calculate the prime factors of 58673 and 58678.

Prime Factorization of 58673

Prime Factorization of 58678

Now multiplying the highest exponent prime factors to calculate the LCM of 58673 and 58678.

LCM(58673,58678) = 23¹ × 2551¹ × 2¹ × 29339¹
LCM(58673,58678) = 3442814294