What is the Least Common Multiple of 58164 and 58180?

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 58164 and 58180 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58164 and 58180, than apply into the LCM equation.

GCF(58164,58180) = 4
LCM(58164,58180) = ( 58164 × 58180) / 4
LCM(58164,58180) = 3383981520 / 4
LCM(58164,58180) = 845995380

Least Common Multiple (LCM) of 58164 and 58180 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58164 and 58180. First we will calculate the prime factors of 58164 and 58180.

Prime Factorization of 58164

Prime Factorization of 58180

Now multiplying the highest exponent prime factors to calculate the LCM of 58164 and 58180.

LCM(58164,58180) = 2² × 3¹ × 37¹ × 131¹ × 5¹ × 2909¹
LCM(58164,58180) = 845995380