What is the Least Common Multiple of 81291 and 81300?

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 81291 and 81300 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81291 and 81300, than apply into the LCM equation.

GCF(81291,81300) = 3
LCM(81291,81300) = ( 81291 × 81300) / 3
LCM(81291,81300) = 6608958300 / 3
LCM(81291,81300) = 2202986100

Least Common Multiple (LCM) of 81291 and 81300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81291 and 81300. First we will calculate the prime factors of 81291 and 81300.

Prime Factorization of 81291

Prime Factorization of 81300

Now multiplying the highest exponent prime factors to calculate the LCM of 81291 and 81300.

LCM(81291,81300) = 3¹ × 7³ × 79¹ × 2² × 5² × 271¹
LCM(81291,81300) = 2202986100