What is the Least Common Multiple of 58245 and 58250?

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 58245 and 58250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58245 and 58250, than apply into the LCM equation.

GCF(58245,58250) = 5
LCM(58245,58250) = ( 58245 × 58250) / 5
LCM(58245,58250) = 3392771250 / 5
LCM(58245,58250) = 678554250

Least Common Multiple (LCM) of 58245 and 58250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58245 and 58250. First we will calculate the prime factors of 58245 and 58250.

Prime Factorization of 58245

Prime Factorization of 58250

Now multiplying the highest exponent prime factors to calculate the LCM of 58245 and 58250.

LCM(58245,58250) = 3¹ × 5³ × 11¹ × 353¹ × 2¹ × 233¹
LCM(58245,58250) = 678554250