What is the Least Common Multiple of 85500 and 85520?

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 85500 and 85520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 85500 and 85520, than apply into the LCM equation.

GCF(85500,85520) = 20
LCM(85500,85520) = ( 85500 × 85520) / 20
LCM(85500,85520) = 7311960000 / 20
LCM(85500,85520) = 365598000

Least Common Multiple (LCM) of 85500 and 85520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85500 and 85520. First we will calculate the prime factors of 85500 and 85520.

Prime Factorization of 85500

Prime Factorization of 85520

Now multiplying the highest exponent prime factors to calculate the LCM of 85500 and 85520.

LCM(85500,85520) = 2⁴ × 3² × 5³ × 19¹ × 1069¹
LCM(85500,85520) = 365598000