What is the Least Common Multiple of 58971 and 58977?

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 58971 and 58977 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58971 and 58977, than apply into the LCM equation.

GCF(58971,58977) = 3
LCM(58971,58977) = ( 58971 × 58977) / 3
LCM(58971,58977) = 3477932667 / 3
LCM(58971,58977) = 1159310889

Least Common Multiple (LCM) of 58971 and 58977 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58971 and 58977. First we will calculate the prime factors of 58971 and 58977.

Prime Factorization of 58971

Prime Factorization of 58977

Now multiplying the highest exponent prime factors to calculate the LCM of 58971 and 58977.

LCM(58971,58977) = 3² × 11¹ × 1787¹ × 6553¹
LCM(58971,58977) = 1159310889