What is the Least Common Multiple of 93312 and 93331?

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 93312 and 93331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93312 and 93331, than apply into the LCM equation.

GCF(93312,93331) = 1
LCM(93312,93331) = ( 93312 × 93331) / 1
LCM(93312,93331) = 8708902272 / 1
LCM(93312,93331) = 8708902272

Least Common Multiple (LCM) of 93312 and 93331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93312 and 93331. First we will calculate the prime factors of 93312 and 93331.

Prime Factorization of 93312

Prime Factorization of 93331

Now multiplying the highest exponent prime factors to calculate the LCM of 93312 and 93331.

LCM(93312,93331) = 2⁷ × 3⁶ × 7¹ × 67¹ × 199¹
LCM(93312,93331) = 8708902272