What is the Least Common Multiple of 58656 and 58671?

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 58656 and 58671 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58656 and 58671, than apply into the LCM equation.

GCF(58656,58671) = 3
LCM(58656,58671) = ( 58656 × 58671) / 3
LCM(58656,58671) = 3441406176 / 3
LCM(58656,58671) = 1147135392

Least Common Multiple (LCM) of 58656 and 58671 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58656 and 58671. First we will calculate the prime factors of 58656 and 58671.

Prime Factorization of 58656

Prime Factorization of 58671

Now multiplying the highest exponent prime factors to calculate the LCM of 58656 and 58671.

LCM(58656,58671) = 2⁵ × 3³ × 13¹ × 47¹ × 41¹ × 53¹
LCM(58656,58671) = 1147135392