What is the Least Common Multiple of 2296 and 2303?

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 2303 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 2303, than apply into the LCM equation.

GCF(2296,2303) = 7
LCM(2296,2303) = ( 2296 × 2303) / 7
LCM(2296,2303) = 5287688 / 7
LCM(2296,2303) = 755384

Least Common Multiple (LCM) of 2296 and 2303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2296 and 2303. First we will calculate the prime factors of 2296 and 2303.

Prime Factorization of 2296

Prime Factorization of 2303

Now multiplying the highest exponent prime factors to calculate the LCM of 2296 and 2303.

LCM(2296,2303) = 2³ × 7² × 41¹ × 47¹
LCM(2296,2303) = 755384