What is the Least Common Multiple of 81312 and 81321?

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 81312 and 81321 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81312 and 81321, than apply into the LCM equation.

GCF(81312,81321) = 3
LCM(81312,81321) = ( 81312 × 81321) / 3
LCM(81312,81321) = 6612373152 / 3
LCM(81312,81321) = 2204124384

Least Common Multiple (LCM) of 81312 and 81321 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81312 and 81321. First we will calculate the prime factors of 81312 and 81321.

Prime Factorization of 81312

Prime Factorization of 81321

Now multiplying the highest exponent prime factors to calculate the LCM of 81312 and 81321.

LCM(81312,81321) = 2⁵ × 3¹ × 7¹ × 11² × 27107¹
LCM(81312,81321) = 2204124384