What is the Least Common Multiple of 11109 and 11113?

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 11109 and 11113 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11109 and 11113, than apply into the LCM equation.

GCF(11109,11113) = 1
LCM(11109,11113) = ( 11109 × 11113) / 1
LCM(11109,11113) = 123454317 / 1
LCM(11109,11113) = 123454317

Least Common Multiple (LCM) of 11109 and 11113 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11109 and 11113. First we will calculate the prime factors of 11109 and 11113.

Prime Factorization of 11109

Prime Factorization of 11113

Now multiplying the highest exponent prime factors to calculate the LCM of 11109 and 11113.

LCM(11109,11113) = 3¹ × 7¹ × 23² × 11113¹
LCM(11109,11113) = 123454317