GCF and LCM Calculator Logo

What is the Least Common Multiple of 81399 and 81404?

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 81399 and 81404 is 6626204196.

LCM(81399,81404) = 6626204196

LCM Calculator and
and

Least Common Multiple of 81399 and 81404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81399 and 81404, than apply into the LCM equation.

GCF(81399,81404) = 1
LCM(81399,81404) = ( 81399 × 81404) / 1
LCM(81399,81404) = 6626204196 / 1
LCM(81399,81404) = 6626204196

Least Common Multiple (LCM) of 81399 and 81404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81399 and 81404. First we will calculate the prime factors of 81399 and 81404.

Prime Factorization of 81399

Prime factors of 81399 are 3, 43, 631. Prime factorization of 81399 in exponential form is:

81399 = 31 × 431 × 6311

Prime Factorization of 81404

Prime factors of 81404 are 2, 47, 433. Prime factorization of 81404 in exponential form is:

81404 = 22 × 471 × 4331

Now multiplying the highest exponent prime factors to calculate the LCM of 81399 and 81404.

LCM(81399,81404) = 31 × 431 × 6311 × 22 × 471 × 4331
LCM(81399,81404) = 6626204196