What is the Least Common Multiple of 85250 and 85255?

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 85255 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 85255, than apply into the LCM equation.

GCF(85250,85255) = 5
LCM(85250,85255) = ( 85250 × 85255) / 5
LCM(85250,85255) = 7267988750 / 5
LCM(85250,85255) = 1453597750

Least Common Multiple (LCM) of 85250 and 85255 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85250 and 85255. First we will calculate the prime factors of 85250 and 85255.

Prime Factorization of 85250

Prime Factorization of 85255

Now multiplying the highest exponent prime factors to calculate the LCM of 85250 and 85255.

LCM(85250,85255) = 2¹ × 5³ × 11¹ × 31¹ × 17² × 59¹
LCM(85250,85255) = 1453597750