What is the Least Common Multiple of 58185 and 58204?

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 58185 and 58204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58185 and 58204, than apply into the LCM equation.

GCF(58185,58204) = 1
LCM(58185,58204) = ( 58185 × 58204) / 1
LCM(58185,58204) = 3386599740 / 1
LCM(58185,58204) = 3386599740

Least Common Multiple (LCM) of 58185 and 58204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58185 and 58204. First we will calculate the prime factors of 58185 and 58204.

Prime Factorization of 58185

Prime Factorization of 58204

Now multiplying the highest exponent prime factors to calculate the LCM of 58185 and 58204.

LCM(58185,58204) = 3³ × 5¹ × 431¹ × 2² × 14551¹
LCM(58185,58204) = 3386599740