What is the Least Common Multiple of 11124 and 11144?

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 11124 and 11144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11124 and 11144, than apply into the LCM equation.

GCF(11124,11144) = 4
LCM(11124,11144) = ( 11124 × 11144) / 4
LCM(11124,11144) = 123965856 / 4
LCM(11124,11144) = 30991464

Least Common Multiple (LCM) of 11124 and 11144 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11124 and 11144. First we will calculate the prime factors of 11124 and 11144.

Prime Factorization of 11124

Prime Factorization of 11144

Now multiplying the highest exponent prime factors to calculate the LCM of 11124 and 11144.

LCM(11124,11144) = 2³ × 3³ × 103¹ × 7¹ × 199¹
LCM(11124,11144) = 30991464