What is the Least Common Multiple of 83485 and 83500?

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 83485 and 83500 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83485 and 83500, than apply into the LCM equation.

GCF(83485,83500) = 5
LCM(83485,83500) = ( 83485 × 83500) / 5
LCM(83485,83500) = 6970997500 / 5
LCM(83485,83500) = 1394199500

Least Common Multiple (LCM) of 83485 and 83500 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83485 and 83500. First we will calculate the prime factors of 83485 and 83500.

Prime Factorization of 83485

Prime Factorization of 83500

Now multiplying the highest exponent prime factors to calculate the LCM of 83485 and 83500.

LCM(83485,83500) = 5³ × 59¹ × 283¹ × 2² × 167¹
LCM(83485,83500) = 1394199500