What is the Least Common Multiple of 2256 and 2263?

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 2263 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 2263, than apply into the LCM equation.

GCF(2256,2263) = 1
LCM(2256,2263) = ( 2256 × 2263) / 1
LCM(2256,2263) = 5105328 / 1
LCM(2256,2263) = 5105328

Least Common Multiple (LCM) of 2256 and 2263 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2256 and 2263. First we will calculate the prime factors of 2256 and 2263.

Prime Factorization of 2256

Prime Factorization of 2263

Now multiplying the highest exponent prime factors to calculate the LCM of 2256 and 2263.

LCM(2256,2263) = 2⁴ × 3¹ × 47¹ × 31¹ × 73¹
LCM(2256,2263) = 5105328