What is the Least Common Multiple of 81300 and 81309?

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 81300 and 81309 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81300 and 81309, than apply into the LCM equation.

GCF(81300,81309) = 3
LCM(81300,81309) = ( 81300 × 81309) / 3
LCM(81300,81309) = 6610421700 / 3
LCM(81300,81309) = 2203473900

Least Common Multiple (LCM) of 81300 and 81309 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81300 and 81309. First we will calculate the prime factors of 81300 and 81309.

Prime Factorization of 81300

Prime Factorization of 81309

Now multiplying the highest exponent prime factors to calculate the LCM of 81300 and 81309.

LCM(81300,81309) = 2² × 3¹ × 5² × 271¹ × 27103¹
LCM(81300,81309) = 2203473900