What is the Least Common Multiple of 2296 and 2302?

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 2296 and 2302 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2296 and 2302, than apply into the LCM equation.

GCF(2296,2302) = 2
LCM(2296,2302) = ( 2296 × 2302) / 2
LCM(2296,2302) = 5285392 / 2
LCM(2296,2302) = 2642696

Least Common Multiple (LCM) of 2296 and 2302 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2296 and 2302. First we will calculate the prime factors of 2296 and 2302.

Prime Factorization of 2296

Prime Factorization of 2302

Now multiplying the highest exponent prime factors to calculate the LCM of 2296 and 2302.

LCM(2296,2302) = 2³ × 7¹ × 41¹ × 1151¹
LCM(2296,2302) = 2642696