What is the Least Common Multiple of 60230 and 60250?

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 60230 and 60250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60230 and 60250, than apply into the LCM equation.

GCF(60230,60250) = 10
LCM(60230,60250) = ( 60230 × 60250) / 10
LCM(60230,60250) = 3628857500 / 10
LCM(60230,60250) = 362885750

Least Common Multiple (LCM) of 60230 and 60250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60230 and 60250. First we will calculate the prime factors of 60230 and 60250.

Prime Factorization of 60230

Prime Factorization of 60250

Now multiplying the highest exponent prime factors to calculate the LCM of 60230 and 60250.

LCM(60230,60250) = 2¹ × 5³ × 19¹ × 317¹ × 241¹
LCM(60230,60250) = 362885750