GCF and LCM Calculator Logo

What is the Least Common Multiple of 11368 and 11379?

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 11368 and 11379 is 129356472.

LCM(11368,11379) = 129356472

LCM Calculator and
and

Least Common Multiple of 11368 and 11379 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11368 and 11379, than apply into the LCM equation.

GCF(11368,11379) = 1
LCM(11368,11379) = ( 11368 × 11379) / 1
LCM(11368,11379) = 129356472 / 1
LCM(11368,11379) = 129356472

Least Common Multiple (LCM) of 11368 and 11379 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11368 and 11379. First we will calculate the prime factors of 11368 and 11379.

Prime Factorization of 11368

Prime factors of 11368 are 2, 7, 29. Prime factorization of 11368 in exponential form is:

11368 = 23 × 72 × 291

Prime Factorization of 11379

Prime factors of 11379 are 3, 3793. Prime factorization of 11379 in exponential form is:

11379 = 31 × 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 11368 and 11379.

LCM(11368,11379) = 23 × 72 × 291 × 31 × 37931
LCM(11368,11379) = 129356472