What is the Least Common Multiple of 44225 and 44237?

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 44237 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 44237, than apply into the LCM equation.

GCF(44225,44237) = 1
LCM(44225,44237) = ( 44225 × 44237) / 1
LCM(44225,44237) = 1956381325 / 1
LCM(44225,44237) = 1956381325

Least Common Multiple (LCM) of 44225 and 44237 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44225 and 44237. First we will calculate the prime factors of 44225 and 44237.

Prime Factorization of 44225

Prime Factorization of 44237

Now multiplying the highest exponent prime factors to calculate the LCM of 44225 and 44237.

LCM(44225,44237) = 5² × 29¹ × 61¹ × 31¹ × 1427¹
LCM(44225,44237) = 1956381325