What is the Least Common Multiple of 58671 and 58683?

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 58671 and 58683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58671 and 58683, than apply into the LCM equation.

GCF(58671,58683) = 3
LCM(58671,58683) = ( 58671 × 58683) / 3
LCM(58671,58683) = 3442990293 / 3
LCM(58671,58683) = 1147663431

Least Common Multiple (LCM) of 58671 and 58683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58671 and 58683. First we will calculate the prime factors of 58671 and 58683.

Prime Factorization of 58671

Prime Factorization of 58683

Now multiplying the highest exponent prime factors to calculate the LCM of 58671 and 58683.

LCM(58671,58683) = 3³ × 41¹ × 53¹ × 31¹ × 631¹
LCM(58671,58683) = 1147663431