What is the Least Common Multiple of 58887 and 58893?

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 58887 and 58893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58887 and 58893, than apply into the LCM equation.

GCF(58887,58893) = 3
LCM(58887,58893) = ( 58887 × 58893) / 3
LCM(58887,58893) = 3468032091 / 3
LCM(58887,58893) = 1156010697

Least Common Multiple (LCM) of 58887 and 58893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58887 and 58893. First we will calculate the prime factors of 58887 and 58893.

Prime Factorization of 58887

Prime Factorization of 58893

Now multiplying the highest exponent prime factors to calculate the LCM of 58887 and 58893.

LCM(58887,58893) = 3⁴ × 727¹ × 67¹ × 293¹
LCM(58887,58893) = 1156010697