What is the Least Common Multiple of 85000 and 85019?

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 85000 and 85019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85000 and 85019, than apply into the LCM equation.

GCF(85000,85019) = 1
LCM(85000,85019) = ( 85000 × 85019) / 1
LCM(85000,85019) = 7226615000 / 1
LCM(85000,85019) = 7226615000

Least Common Multiple (LCM) of 85000 and 85019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85000 and 85019. First we will calculate the prime factors of 85000 and 85019.

Prime Factorization of 85000

Prime Factorization of 85019

Now multiplying the highest exponent prime factors to calculate the LCM of 85000 and 85019.

LCM(85000,85019) = 2³ × 5⁴ × 17¹ × 11¹ × 59¹ × 131¹
LCM(85000,85019) = 7226615000