What is the Least Common Multiple of 44225 and 44244?

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 44225 and 44244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44225 and 44244, than apply into the LCM equation.

GCF(44225,44244) = 1
LCM(44225,44244) = ( 44225 × 44244) / 1
LCM(44225,44244) = 1956690900 / 1
LCM(44225,44244) = 1956690900

Least Common Multiple (LCM) of 44225 and 44244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44225 and 44244. First we will calculate the prime factors of 44225 and 44244.

Prime Factorization of 44225

Prime Factorization of 44244

Now multiplying the highest exponent prime factors to calculate the LCM of 44225 and 44244.

LCM(44225,44244) = 5² × 29¹ × 61¹ × 2² × 3² × 1229¹
LCM(44225,44244) = 1956690900