What is the Least Common Multiple of 53800 and 53810?

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 53810 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 53810, than apply into the LCM equation.

GCF(53800,53810) = 10
LCM(53800,53810) = ( 53800 × 53810) / 10
LCM(53800,53810) = 2894978000 / 10
LCM(53800,53810) = 289497800

Least Common Multiple (LCM) of 53800 and 53810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53800 and 53810. First we will calculate the prime factors of 53800 and 53810.

Prime Factorization of 53800

Prime Factorization of 53810

Now multiplying the highest exponent prime factors to calculate the LCM of 53800 and 53810.

LCM(53800,53810) = 2³ × 5² × 269¹ × 5381¹
LCM(53800,53810) = 289497800