What is the Least Common Multiple of 85250 and 85270?

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 85250 and 85270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85250 and 85270, than apply into the LCM equation.

GCF(85250,85270) = 10
LCM(85250,85270) = ( 85250 × 85270) / 10
LCM(85250,85270) = 7269267500 / 10
LCM(85250,85270) = 726926750

Least Common Multiple (LCM) of 85250 and 85270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85250 and 85270. First we will calculate the prime factors of 85250 and 85270.

Prime Factorization of 85250

Prime Factorization of 85270

Now multiplying the highest exponent prime factors to calculate the LCM of 85250 and 85270.

LCM(85250,85270) = 2¹ × 5³ × 11¹ × 31¹ × 8527¹
LCM(85250,85270) = 726926750