What is the Least Common Multiple of 85230 and 85250?

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 85230 and 85250 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85230 and 85250, than apply into the LCM equation.

GCF(85230,85250) = 10
LCM(85230,85250) = ( 85230 × 85250) / 10
LCM(85230,85250) = 7265857500 / 10
LCM(85230,85250) = 726585750

Least Common Multiple (LCM) of 85230 and 85250 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85230 and 85250. First we will calculate the prime factors of 85230 and 85250.

Prime Factorization of 85230

Prime Factorization of 85250

Now multiplying the highest exponent prime factors to calculate the LCM of 85230 and 85250.

LCM(85230,85250) = 2¹ × 3² × 5³ × 947¹ × 11¹ × 31¹
LCM(85230,85250) = 726585750