What is the Least Common Multiple of 58180 and 58185?

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 58180 and 58185 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58180 and 58185, than apply into the LCM equation.

GCF(58180,58185) = 5
LCM(58180,58185) = ( 58180 × 58185) / 5
LCM(58180,58185) = 3385203300 / 5
LCM(58180,58185) = 677040660

Least Common Multiple (LCM) of 58180 and 58185 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58180 and 58185. First we will calculate the prime factors of 58180 and 58185.

Prime Factorization of 58180

Prime Factorization of 58185

Now multiplying the highest exponent prime factors to calculate the LCM of 58180 and 58185.

LCM(58180,58185) = 2² × 5¹ × 2909¹ × 3³ × 431¹
LCM(58180,58185) = 677040660