What is the Least Common Multiple of 8312 and 8322?

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 8312 and 8322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8312 and 8322, than apply into the LCM equation.

GCF(8312,8322) = 2
LCM(8312,8322) = ( 8312 × 8322) / 2
LCM(8312,8322) = 69172464 / 2
LCM(8312,8322) = 34586232

Least Common Multiple (LCM) of 8312 and 8322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8312 and 8322. First we will calculate the prime factors of 8312 and 8322.

Prime Factorization of 8312

Prime Factorization of 8322

Now multiplying the highest exponent prime factors to calculate the LCM of 8312 and 8322.

LCM(8312,8322) = 2³ × 1039¹ × 3¹ × 19¹ × 73¹
LCM(8312,8322) = 34586232