What is the Least Common Multiple of 11164 and 11177?

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 11164 and 11177 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11164 and 11177, than apply into the LCM equation.

GCF(11164,11177) = 1
LCM(11164,11177) = ( 11164 × 11177) / 1
LCM(11164,11177) = 124780028 / 1
LCM(11164,11177) = 124780028

Least Common Multiple (LCM) of 11164 and 11177 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11164 and 11177. First we will calculate the prime factors of 11164 and 11177.

Prime Factorization of 11164

Prime Factorization of 11177

Now multiplying the highest exponent prime factors to calculate the LCM of 11164 and 11177.

LCM(11164,11177) = 2² × 2791¹ × 11177¹
LCM(11164,11177) = 124780028