GCF and LCM Calculator Logo

What is the Least Common Multiple of 12833 and 12847?

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 12833 and 12847 is 164865551.

LCM(12833,12847) = 164865551

LCM Calculator and
and

Least Common Multiple of 12833 and 12847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12833 and 12847, than apply into the LCM equation.

GCF(12833,12847) = 1
LCM(12833,12847) = ( 12833 × 12847) / 1
LCM(12833,12847) = 164865551 / 1
LCM(12833,12847) = 164865551

Least Common Multiple (LCM) of 12833 and 12847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12833 and 12847. First we will calculate the prime factors of 12833 and 12847.

Prime Factorization of 12833

Prime factors of 12833 are 41, 313. Prime factorization of 12833 in exponential form is:

12833 = 411 × 3131

Prime Factorization of 12847

Prime factors of 12847 are 29, 443. Prime factorization of 12847 in exponential form is:

12847 = 291 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 12833 and 12847.

LCM(12833,12847) = 411 × 3131 × 291 × 4431
LCM(12833,12847) = 164865551