What is the Least Common Multiple of 2296 and 2300?

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 2300 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 2300, than apply into the LCM equation.

GCF(2296,2300) = 4
LCM(2296,2300) = ( 2296 × 2300) / 4
LCM(2296,2300) = 5280800 / 4
LCM(2296,2300) = 1320200

Least Common Multiple (LCM) of 2296 and 2300 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2296 and 2300. First we will calculate the prime factors of 2296 and 2300.

Prime Factorization of 2296

Prime Factorization of 2300

Now multiplying the highest exponent prime factors to calculate the LCM of 2296 and 2300.

LCM(2296,2300) = 2³ × 7¹ × 41¹ × 5² × 23¹
LCM(2296,2300) = 1320200