GCF and LCM Calculator Logo

What is the Least Common Multiple of 13805 and 13823?

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 13805 and 13823 is 190826515.

LCM(13805,13823) = 190826515

LCM Calculator and
and

Least Common Multiple of 13805 and 13823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13805 and 13823, than apply into the LCM equation.

GCF(13805,13823) = 1
LCM(13805,13823) = ( 13805 × 13823) / 1
LCM(13805,13823) = 190826515 / 1
LCM(13805,13823) = 190826515

Least Common Multiple (LCM) of 13805 and 13823 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13805 and 13823. First we will calculate the prime factors of 13805 and 13823.

Prime Factorization of 13805

Prime factors of 13805 are 5, 11, 251. Prime factorization of 13805 in exponential form is:

13805 = 51 × 111 × 2511

Prime Factorization of 13823

Prime factors of 13823 are 23, 601. Prime factorization of 13823 in exponential form is:

13823 = 231 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 13805 and 13823.

LCM(13805,13823) = 51 × 111 × 2511 × 231 × 6011
LCM(13805,13823) = 190826515