What is the Least Common Multiple of 58149 and 58164?

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 58149 and 58164 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58149 and 58164, than apply into the LCM equation.

GCF(58149,58164) = 3
LCM(58149,58164) = ( 58149 × 58164) / 3
LCM(58149,58164) = 3382178436 / 3
LCM(58149,58164) = 1127392812

Least Common Multiple (LCM) of 58149 and 58164 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58149 and 58164. First we will calculate the prime factors of 58149 and 58164.

Prime Factorization of 58149

Prime Factorization of 58164

Now multiplying the highest exponent prime factors to calculate the LCM of 58149 and 58164.

LCM(58149,58164) = 3² × 7¹ × 13¹ × 71¹ × 2² × 37¹ × 131¹
LCM(58149,58164) = 1127392812