What is the Least Common Multiple of 53800 and 53805?

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 53800 and 53805 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53800 and 53805, than apply into the LCM equation.

GCF(53800,53805) = 5
LCM(53800,53805) = ( 53800 × 53805) / 5
LCM(53800,53805) = 2894709000 / 5
LCM(53800,53805) = 578941800

Least Common Multiple (LCM) of 53800 and 53805 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53800 and 53805. First we will calculate the prime factors of 53800 and 53805.

Prime Factorization of 53800

Prime Factorization of 53805

Now multiplying the highest exponent prime factors to calculate the LCM of 53800 and 53805.

LCM(53800,53805) = 2³ × 5² × 269¹ × 3¹ × 17¹ × 211¹
LCM(53800,53805) = 578941800