What is the Least Common Multiple of 11113 and 11132?

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 11113 and 11132 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11113 and 11132, than apply into the LCM equation.

GCF(11113,11132) = 1
LCM(11113,11132) = ( 11113 × 11132) / 1
LCM(11113,11132) = 123709916 / 1
LCM(11113,11132) = 123709916

Least Common Multiple (LCM) of 11113 and 11132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11113 and 11132. First we will calculate the prime factors of 11113 and 11132.

Prime Factorization of 11113

Prime Factorization of 11132

Now multiplying the highest exponent prime factors to calculate the LCM of 11113 and 11132.

LCM(11113,11132) = 11113¹ × 2² × 11² × 23¹
LCM(11113,11132) = 123709916