GCF and LCM Calculator Logo

What is the Least Common Multiple of 3799 and 3811?

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 3799 and 3811 is 14477989.

LCM(3799,3811) = 14477989

LCM Calculator and
and

Least Common Multiple of 3799 and 3811 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3799 and 3811, than apply into the LCM equation.

GCF(3799,3811) = 1
LCM(3799,3811) = ( 3799 × 3811) / 1
LCM(3799,3811) = 14477989 / 1
LCM(3799,3811) = 14477989

Least Common Multiple (LCM) of 3799 and 3811 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3799 and 3811. First we will calculate the prime factors of 3799 and 3811.

Prime Factorization of 3799

Prime factors of 3799 are 29, 131. Prime factorization of 3799 in exponential form is:

3799 = 291 × 1311

Prime Factorization of 3811

Prime factors of 3811 are 37, 103. Prime factorization of 3811 in exponential form is:

3811 = 371 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3799 and 3811.

LCM(3799,3811) = 291 × 1311 × 371 × 1031
LCM(3799,3811) = 14477989