What is the Least Common Multiple of 11223 and 11235?

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 11235 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 11235, than apply into the LCM equation.

GCF(11223,11235) = 3
LCM(11223,11235) = ( 11223 × 11235) / 3
LCM(11223,11235) = 126090405 / 3
LCM(11223,11235) = 42030135

Least Common Multiple (LCM) of 11223 and 11235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11223 and 11235. First we will calculate the prime factors of 11223 and 11235.

Prime Factorization of 11223

Prime Factorization of 11235

Now multiplying the highest exponent prime factors to calculate the LCM of 11223 and 11235.

LCM(11223,11235) = 3² × 29¹ × 43¹ × 5¹ × 7¹ × 107¹
LCM(11223,11235) = 42030135