What is the Least Common Multiple of 2256 and 2266?

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 2256 and 2266 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2256 and 2266, than apply into the LCM equation.

GCF(2256,2266) = 2
LCM(2256,2266) = ( 2256 × 2266) / 2
LCM(2256,2266) = 5112096 / 2
LCM(2256,2266) = 2556048

Least Common Multiple (LCM) of 2256 and 2266 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2256 and 2266. First we will calculate the prime factors of 2256 and 2266.

Prime Factorization of 2256

Prime Factorization of 2266

Now multiplying the highest exponent prime factors to calculate the LCM of 2256 and 2266.

LCM(2256,2266) = 2⁴ × 3¹ × 47¹ × 11¹ × 103¹
LCM(2256,2266) = 2556048