What is the Least Common Multiple of 14225 and 14241?

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 14225 and 14241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14225 and 14241, than apply into the LCM equation.

GCF(14225,14241) = 1
LCM(14225,14241) = ( 14225 × 14241) / 1
LCM(14225,14241) = 202578225 / 1
LCM(14225,14241) = 202578225

Least Common Multiple (LCM) of 14225 and 14241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 14225 and 14241. First we will calculate the prime factors of 14225 and 14241.

Prime Factorization of 14225

Prime Factorization of 14241

Now multiplying the highest exponent prime factors to calculate the LCM of 14225 and 14241.

LCM(14225,14241) = 5² × 569¹ × 3¹ × 47¹ × 101¹
LCM(14225,14241) = 202578225