What is the Least Common Multiple of 44312 and 44322?

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 44312 and 44322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44312 and 44322, than apply into the LCM equation.

GCF(44312,44322) = 2
LCM(44312,44322) = ( 44312 × 44322) / 2
LCM(44312,44322) = 1963996464 / 2
LCM(44312,44322) = 981998232

Least Common Multiple (LCM) of 44312 and 44322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44312 and 44322. First we will calculate the prime factors of 44312 and 44322.

Prime Factorization of 44312

Prime Factorization of 44322

Now multiplying the highest exponent prime factors to calculate the LCM of 44312 and 44322.

LCM(44312,44322) = 2³ × 29¹ × 191¹ × 3¹ × 83¹ × 89¹
LCM(44312,44322) = 981998232