GCF and LCM Calculator Logo

What is the Least Common Multiple of 11391 and 11408?

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 11391 and 11408 is 129948528.

LCM(11391,11408) = 129948528

LCM Calculator and
and

Least Common Multiple of 11391 and 11408 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11391 and 11408, than apply into the LCM equation.

GCF(11391,11408) = 1
LCM(11391,11408) = ( 11391 × 11408) / 1
LCM(11391,11408) = 129948528 / 1
LCM(11391,11408) = 129948528

Least Common Multiple (LCM) of 11391 and 11408 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11391 and 11408. First we will calculate the prime factors of 11391 and 11408.

Prime Factorization of 11391

Prime factors of 11391 are 3, 3797. Prime factorization of 11391 in exponential form is:

11391 = 31 × 37971

Prime Factorization of 11408

Prime factors of 11408 are 2, 23, 31. Prime factorization of 11408 in exponential form is:

11408 = 24 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 11391 and 11408.

LCM(11391,11408) = 31 × 37971 × 24 × 231 × 311
LCM(11391,11408) = 129948528