What is the Least Common Multiple of 11121 and 11136?

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 11121 and 11136 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11121 and 11136, than apply into the LCM equation.

GCF(11121,11136) = 3
LCM(11121,11136) = ( 11121 × 11136) / 3
LCM(11121,11136) = 123843456 / 3
LCM(11121,11136) = 41281152

Least Common Multiple (LCM) of 11121 and 11136 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11121 and 11136. First we will calculate the prime factors of 11121 and 11136.

Prime Factorization of 11121

Prime Factorization of 11136

Now multiplying the highest exponent prime factors to calculate the LCM of 11121 and 11136.

LCM(11121,11136) = 3¹ × 11¹ × 337¹ × 2⁷ × 29¹
LCM(11121,11136) = 41281152