What is the Least Common Multiple of 44296 and 44314?

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 44296 and 44314 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44296 and 44314, than apply into the LCM equation.

GCF(44296,44314) = 2
LCM(44296,44314) = ( 44296 × 44314) / 2
LCM(44296,44314) = 1962932944 / 2
LCM(44296,44314) = 981466472

Least Common Multiple (LCM) of 44296 and 44314 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44296 and 44314. First we will calculate the prime factors of 44296 and 44314.

Prime Factorization of 44296

Prime Factorization of 44314

Now multiplying the highest exponent prime factors to calculate the LCM of 44296 and 44314.

LCM(44296,44314) = 2³ × 7² × 113¹ × 22157¹
LCM(44296,44314) = 981466472