What is the Least Common Multiple of 84800 and 84805?

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 84800 and 84805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84800 and 84805, than apply into the LCM equation.

GCF(84800,84805) = 5
LCM(84800,84805) = ( 84800 × 84805) / 5
LCM(84800,84805) = 7191464000 / 5
LCM(84800,84805) = 1438292800

Least Common Multiple (LCM) of 84800 and 84805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84800 and 84805. First we will calculate the prime factors of 84800 and 84805.

Prime Factorization of 84800

Prime Factorization of 84805

Now multiplying the highest exponent prime factors to calculate the LCM of 84800 and 84805.

LCM(84800,84805) = 2⁶ × 5² × 53¹ × 7¹ × 2423¹
LCM(84800,84805) = 1438292800