What is the Least Common Multiple of 83312 and 83331?

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 83312 and 83331 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83312 and 83331, than apply into the LCM equation.

GCF(83312,83331) = 1
LCM(83312,83331) = ( 83312 × 83331) / 1
LCM(83312,83331) = 6942472272 / 1
LCM(83312,83331) = 6942472272

Least Common Multiple (LCM) of 83312 and 83331 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83312 and 83331. First we will calculate the prime factors of 83312 and 83331.

Prime Factorization of 83312

Prime Factorization of 83331

Now multiplying the highest exponent prime factors to calculate the LCM of 83312 and 83331.

LCM(83312,83331) = 2⁴ × 41¹ × 127¹ × 3² × 47¹ × 197¹
LCM(83312,83331) = 6942472272