What is the Least Common Multiple of 11113 and 11129?

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 11129 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 11129, than apply into the LCM equation.

GCF(11113,11129) = 1
LCM(11113,11129) = ( 11113 × 11129) / 1
LCM(11113,11129) = 123676577 / 1
LCM(11113,11129) = 123676577

Least Common Multiple (LCM) of 11113 and 11129 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11113 and 11129. First we will calculate the prime factors of 11113 and 11129.

Prime Factorization of 11113

Prime Factorization of 11129

Now multiplying the highest exponent prime factors to calculate the LCM of 11113 and 11129.

LCM(11113,11129) = 11113¹ × 31¹ × 359¹
LCM(11113,11129) = 123676577