What is the Least Common Multiple of 11223 and 11239?

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 11223 and 11239 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11223 and 11239, than apply into the LCM equation.

GCF(11223,11239) = 1
LCM(11223,11239) = ( 11223 × 11239) / 1
LCM(11223,11239) = 126135297 / 1
LCM(11223,11239) = 126135297

Least Common Multiple (LCM) of 11223 and 11239 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11223 and 11239. First we will calculate the prime factors of 11223 and 11239.

Prime Factorization of 11223

Prime Factorization of 11239

Now multiplying the highest exponent prime factors to calculate the LCM of 11223 and 11239.

LCM(11223,11239) = 3² × 29¹ × 43¹ × 11239¹
LCM(11223,11239) = 126135297