GCF and LCM Calculator Logo

What is the Least Common Multiple of 11382 and 11400?

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 11382 and 11400 is 21625800.

LCM(11382,11400) = 21625800

LCM Calculator and
and

Least Common Multiple of 11382 and 11400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11382 and 11400, than apply into the LCM equation.

GCF(11382,11400) = 6
LCM(11382,11400) = ( 11382 × 11400) / 6
LCM(11382,11400) = 129754800 / 6
LCM(11382,11400) = 21625800

Least Common Multiple (LCM) of 11382 and 11400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11382 and 11400. First we will calculate the prime factors of 11382 and 11400.

Prime Factorization of 11382

Prime factors of 11382 are 2, 3, 7, 271. Prime factorization of 11382 in exponential form is:

11382 = 21 × 31 × 71 × 2711

Prime Factorization of 11400

Prime factors of 11400 are 2, 3, 5, 19. Prime factorization of 11400 in exponential form is:

11400 = 23 × 31 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 11382 and 11400.

LCM(11382,11400) = 23 × 31 × 71 × 2711 × 52 × 191
LCM(11382,11400) = 21625800