What is the Least Common Multiple of 2300 and 2304?

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 2300 and 2304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2300 and 2304, than apply into the LCM equation.

GCF(2300,2304) = 4
LCM(2300,2304) = ( 2300 × 2304) / 4
LCM(2300,2304) = 5299200 / 4
LCM(2300,2304) = 1324800

Least Common Multiple (LCM) of 2300 and 2304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2300 and 2304. First we will calculate the prime factors of 2300 and 2304.

Prime Factorization of 2300

Prime Factorization of 2304

Now multiplying the highest exponent prime factors to calculate the LCM of 2300 and 2304.

LCM(2300,2304) = 2⁸ × 5² × 23¹ × 3²
LCM(2300,2304) = 1324800