What is the Least Common Multiple of 44314 and 44320?

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 44314 and 44320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44314 and 44320, than apply into the LCM equation.

GCF(44314,44320) = 2
LCM(44314,44320) = ( 44314 × 44320) / 2
LCM(44314,44320) = 1963996480 / 2
LCM(44314,44320) = 981998240

Least Common Multiple (LCM) of 44314 and 44320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44314 and 44320. First we will calculate the prime factors of 44314 and 44320.

Prime Factorization of 44314

Prime Factorization of 44320

Now multiplying the highest exponent prime factors to calculate the LCM of 44314 and 44320.

LCM(44314,44320) = 2⁵ × 22157¹ × 5¹ × 277¹
LCM(44314,44320) = 981998240