What is the Least Common Multiple of 2204 and 2223?

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 2204 and 2223 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2204 and 2223, than apply into the LCM equation.

GCF(2204,2223) = 19
LCM(2204,2223) = ( 2204 × 2223) / 19
LCM(2204,2223) = 4899492 / 19
LCM(2204,2223) = 257868

Least Common Multiple (LCM) of 2204 and 2223 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2204 and 2223. First we will calculate the prime factors of 2204 and 2223.

Prime Factorization of 2204

Prime Factorization of 2223

Now multiplying the highest exponent prime factors to calculate the LCM of 2204 and 2223.

LCM(2204,2223) = 2² × 19¹ × 29¹ × 3² × 13¹
LCM(2204,2223) = 257868