What is the Least Common Multiple of 44204 and 44224?

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 44204 and 44224 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44204 and 44224, than apply into the LCM equation.

GCF(44204,44224) = 4
LCM(44204,44224) = ( 44204 × 44224) / 4
LCM(44204,44224) = 1954877696 / 4
LCM(44204,44224) = 488719424

Least Common Multiple (LCM) of 44204 and 44224 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44204 and 44224. First we will calculate the prime factors of 44204 and 44224.

Prime Factorization of 44204

Prime Factorization of 44224

Now multiplying the highest exponent prime factors to calculate the LCM of 44204 and 44224.

LCM(44204,44224) = 2⁶ × 43¹ × 257¹ × 691¹
LCM(44204,44224) = 488719424