What is the Least Common Multiple of 44256 and 44266?

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 44256 and 44266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44256 and 44266, than apply into the LCM equation.

GCF(44256,44266) = 2
LCM(44256,44266) = ( 44256 × 44266) / 2
LCM(44256,44266) = 1959036096 / 2
LCM(44256,44266) = 979518048

Least Common Multiple (LCM) of 44256 and 44266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44256 and 44266. First we will calculate the prime factors of 44256 and 44266.

Prime Factorization of 44256

Prime Factorization of 44266

Now multiplying the highest exponent prime factors to calculate the LCM of 44256 and 44266.

LCM(44256,44266) = 2⁵ × 3¹ × 461¹ × 22133¹
LCM(44256,44266) = 979518048