What is the Least Common Multiple of 2254 and 2269?

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 2254 and 2269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2254 and 2269, than apply into the LCM equation.

GCF(2254,2269) = 1
LCM(2254,2269) = ( 2254 × 2269) / 1
LCM(2254,2269) = 5114326 / 1
LCM(2254,2269) = 5114326

Least Common Multiple (LCM) of 2254 and 2269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2254 and 2269. First we will calculate the prime factors of 2254 and 2269.

Prime Factorization of 2254

Prime Factorization of 2269

Now multiplying the highest exponent prime factors to calculate the LCM of 2254 and 2269.

LCM(2254,2269) = 2¹ × 7² × 23¹ × 2269¹
LCM(2254,2269) = 5114326