What is the Least Common Multiple of 44209 and 44225?

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 44209 and 44225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 44209 and 44225, than apply into the LCM equation.

GCF(44209,44225) = 1
LCM(44209,44225) = ( 44209 × 44225) / 1
LCM(44209,44225) = 1955143025 / 1
LCM(44209,44225) = 1955143025

Least Common Multiple (LCM) of 44209 and 44225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 44209 and 44225. First we will calculate the prime factors of 44209 and 44225.

Prime Factorization of 44209

Prime Factorization of 44225

Now multiplying the highest exponent prime factors to calculate the LCM of 44209 and 44225.

LCM(44209,44225) = 11¹ × 4019¹ × 5² × 29¹ × 61¹
LCM(44209,44225) = 1955143025