What is the Least Common Multiple of 81294 and 81312?

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 81294 and 81312 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81294 and 81312, than apply into the LCM equation.

GCF(81294,81312) = 6
LCM(81294,81312) = ( 81294 × 81312) / 6
LCM(81294,81312) = 6610177728 / 6
LCM(81294,81312) = 1101696288

Least Common Multiple (LCM) of 81294 and 81312 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81294 and 81312. First we will calculate the prime factors of 81294 and 81312.

Prime Factorization of 81294

Prime Factorization of 81312

Now multiplying the highest exponent prime factors to calculate the LCM of 81294 and 81312.

LCM(81294,81312) = 2⁵ × 3¹ × 17¹ × 797¹ × 7¹ × 11²
LCM(81294,81312) = 1101696288