What is the Least Common Multiple of 11104 and 11119?

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 11104 and 11119 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11104 and 11119, than apply into the LCM equation.

GCF(11104,11119) = 1
LCM(11104,11119) = ( 11104 × 11119) / 1
LCM(11104,11119) = 123465376 / 1
LCM(11104,11119) = 123465376

Least Common Multiple (LCM) of 11104 and 11119 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11104 and 11119. First we will calculate the prime factors of 11104 and 11119.

Prime Factorization of 11104

Prime Factorization of 11119

Now multiplying the highest exponent prime factors to calculate the LCM of 11104 and 11119.

LCM(11104,11119) = 2⁵ × 347¹ × 11119¹
LCM(11104,11119) = 123465376