What is the Least Common Multiple of 85500 and 85519?

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 85519 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 85519, than apply into the LCM equation.

GCF(85500,85519) = 19
LCM(85500,85519) = ( 85500 × 85519) / 19
LCM(85500,85519) = 7311874500 / 19
LCM(85500,85519) = 384835500

Least Common Multiple (LCM) of 85500 and 85519 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85500 and 85519. First we will calculate the prime factors of 85500 and 85519.

Prime Factorization of 85500

Prime Factorization of 85519

Now multiplying the highest exponent prime factors to calculate the LCM of 85500 and 85519.

LCM(85500,85519) = 2² × 3² × 5³ × 19¹ × 7¹ × 643¹
LCM(85500,85519) = 384835500