GCF and LCM Calculator Logo

What is the Least Common Multiple of 13807 and 13822?

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 13807 and 13822 is 190840354.

LCM(13807,13822) = 190840354

LCM Calculator and
and

Least Common Multiple of 13807 and 13822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13807 and 13822, than apply into the LCM equation.

GCF(13807,13822) = 1
LCM(13807,13822) = ( 13807 × 13822) / 1
LCM(13807,13822) = 190840354 / 1
LCM(13807,13822) = 190840354

Least Common Multiple (LCM) of 13807 and 13822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13807 and 13822. First we will calculate the prime factors of 13807 and 13822.

Prime Factorization of 13807

Prime factors of 13807 are 13807. Prime factorization of 13807 in exponential form is:

13807 = 138071

Prime Factorization of 13822

Prime factors of 13822 are 2, 6911. Prime factorization of 13822 in exponential form is:

13822 = 21 × 69111

Now multiplying the highest exponent prime factors to calculate the LCM of 13807 and 13822.

LCM(13807,13822) = 138071 × 21 × 69111
LCM(13807,13822) = 190840354