GCF and LCM Calculator Logo

What is the Least Common Multiple of 5385 and 5392?

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 5385 and 5392 is 29035920.

LCM(5385,5392) = 29035920

LCM Calculator and
and

Least Common Multiple of 5385 and 5392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5385 and 5392, than apply into the LCM equation.

GCF(5385,5392) = 1
LCM(5385,5392) = ( 5385 × 5392) / 1
LCM(5385,5392) = 29035920 / 1
LCM(5385,5392) = 29035920

Least Common Multiple (LCM) of 5385 and 5392 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5385 and 5392. First we will calculate the prime factors of 5385 and 5392.

Prime Factorization of 5385

Prime factors of 5385 are 3, 5, 359. Prime factorization of 5385 in exponential form is:

5385 = 31 × 51 × 3591

Prime Factorization of 5392

Prime factors of 5392 are 2, 337. Prime factorization of 5392 in exponential form is:

5392 = 24 × 3371

Now multiplying the highest exponent prime factors to calculate the LCM of 5385 and 5392.

LCM(5385,5392) = 31 × 51 × 3591 × 24 × 3371
LCM(5385,5392) = 29035920