What is the Least Common Multiple of 81285 and 81291?

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 81285 and 81291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81285 and 81291, than apply into the LCM equation.

GCF(81285,81291) = 3
LCM(81285,81291) = ( 81285 × 81291) / 3
LCM(81285,81291) = 6607738935 / 3
LCM(81285,81291) = 2202579645

Least Common Multiple (LCM) of 81285 and 81291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81285 and 81291. First we will calculate the prime factors of 81285 and 81291.

Prime Factorization of 81285

Prime Factorization of 81291

Now multiplying the highest exponent prime factors to calculate the LCM of 81285 and 81291.

LCM(81285,81291) = 3¹ × 5¹ × 5419¹ × 7³ × 79¹
LCM(81285,81291) = 2202579645