What is the Least Common Multiple of 44244 and 44249?

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 44244 and 44249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44244 and 44249, than apply into the LCM equation.

GCF(44244,44249) = 1
LCM(44244,44249) = ( 44244 × 44249) / 1
LCM(44244,44249) = 1957752756 / 1
LCM(44244,44249) = 1957752756

Least Common Multiple (LCM) of 44244 and 44249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44244 and 44249. First we will calculate the prime factors of 44244 and 44249.

Prime Factorization of 44244

Prime Factorization of 44249

Now multiplying the highest exponent prime factors to calculate the LCM of 44244 and 44249.

LCM(44244,44249) = 2² × 3² × 1229¹ × 44249¹
LCM(44244,44249) = 1957752756