GCF and LCM Calculator Logo

What is the Least Common Multiple of 11116 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 (LCM) of 11116 and 11132 is 30935828.

LCM(11116,11132) = 30935828

LCM Calculator and
and

Least Common Multiple of 11116 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 11116 and 11132, than apply into the LCM equation.

GCF(11116,11132) = 4
LCM(11116,11132) = ( 11116 × 11132) / 4
LCM(11116,11132) = 123743312 / 4
LCM(11116,11132) = 30935828

Least Common Multiple (LCM) of 11116 and 11132 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11116 and 11132. First we will calculate the prime factors of 11116 and 11132.

Prime Factorization of 11116

Prime factors of 11116 are 2, 7, 397. Prime factorization of 11116 in exponential form is:

11116 = 22 × 71 × 3971

Prime Factorization of 11132

Prime factors of 11132 are 2, 11, 23. Prime factorization of 11132 in exponential form is:

11132 = 22 × 112 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11116 and 11132.

LCM(11116,11132) = 22 × 71 × 3971 × 112 × 231
LCM(11116,11132) = 30935828