What is the Least Common Multiple of 32209 and 32225?

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 32209 and 32225 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32209 and 32225, than apply into the LCM equation.

GCF(32209,32225) = 1
LCM(32209,32225) = ( 32209 × 32225) / 1
LCM(32209,32225) = 1037935025 / 1
LCM(32209,32225) = 1037935025

Least Common Multiple (LCM) of 32209 and 32225 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32209 and 32225. First we will calculate the prime factors of 32209 and 32225.

Prime Factorization of 32209

Prime Factorization of 32225

Now multiplying the highest exponent prime factors to calculate the LCM of 32209 and 32225.

LCM(32209,32225) = 31¹ × 1039¹ × 5² × 1289¹
LCM(32209,32225) = 1037935025