What is the Least Common Multiple of 81800 and 81810?

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 81800 and 81810 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81800 and 81810, than apply into the LCM equation.

GCF(81800,81810) = 10
LCM(81800,81810) = ( 81800 × 81810) / 10
LCM(81800,81810) = 6692058000 / 10
LCM(81800,81810) = 669205800

Least Common Multiple (LCM) of 81800 and 81810 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81800 and 81810. First we will calculate the prime factors of 81800 and 81810.

Prime Factorization of 81800

Prime Factorization of 81810

Now multiplying the highest exponent prime factors to calculate the LCM of 81800 and 81810.

LCM(81800,81810) = 2³ × 5² × 409¹ × 3⁴ × 101¹
LCM(81800,81810) = 669205800