What is the Least Common Multiple of 44272 and 44284?

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 44272 and 44284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44272 and 44284, than apply into the LCM equation.

GCF(44272,44284) = 4
LCM(44272,44284) = ( 44272 × 44284) / 4
LCM(44272,44284) = 1960541248 / 4
LCM(44272,44284) = 490135312

Least Common Multiple (LCM) of 44272 and 44284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44272 and 44284. First we will calculate the prime factors of 44272 and 44284.

Prime Factorization of 44272

Prime Factorization of 44284

Now multiplying the highest exponent prime factors to calculate the LCM of 44272 and 44284.

LCM(44272,44284) = 2⁴ × 2767¹ × 11071¹
LCM(44272,44284) = 490135312