What is the Least Common Multiple of 85500 and 85504?

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 85504 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 85504, than apply into the LCM equation.

GCF(85500,85504) = 4
LCM(85500,85504) = ( 85500 × 85504) / 4
LCM(85500,85504) = 7310592000 / 4
LCM(85500,85504) = 1827648000

Least Common Multiple (LCM) of 85500 and 85504 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 85500 and 85504. First we will calculate the prime factors of 85500 and 85504.

Prime Factorization of 85500

Prime Factorization of 85504

Now multiplying the highest exponent prime factors to calculate the LCM of 85500 and 85504.

LCM(85500,85504) = 2⁹ × 3² × 5³ × 19¹ × 167¹
LCM(85500,85504) = 1827648000