What is the Least Common Multiple of 58146 and 58161?

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 58146 and 58161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58146 and 58161, than apply into the LCM equation.

GCF(58146,58161) = 3
LCM(58146,58161) = ( 58146 × 58161) / 3
LCM(58146,58161) = 3381829506 / 3
LCM(58146,58161) = 1127276502

Least Common Multiple (LCM) of 58146 and 58161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58146 and 58161. First we will calculate the prime factors of 58146 and 58161.

Prime Factorization of 58146

Prime Factorization of 58161

Now multiplying the highest exponent prime factors to calculate the LCM of 58146 and 58161.

LCM(58146,58161) = 2¹ × 3¹ × 11¹ × 881¹ × 19387¹
LCM(58146,58161) = 1127276502