GCF and LCM Calculator Logo

What is the Least Common Multiple of 11806 and 11819?

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 11806 and 11819 is 139535114.

LCM(11806,11819) = 139535114

LCM Calculator and
and

Least Common Multiple of 11806 and 11819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11806 and 11819, than apply into the LCM equation.

GCF(11806,11819) = 1
LCM(11806,11819) = ( 11806 × 11819) / 1
LCM(11806,11819) = 139535114 / 1
LCM(11806,11819) = 139535114

Least Common Multiple (LCM) of 11806 and 11819 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11806 and 11819. First we will calculate the prime factors of 11806 and 11819.

Prime Factorization of 11806

Prime factors of 11806 are 2, 5903. Prime factorization of 11806 in exponential form is:

11806 = 21 × 59031

Prime Factorization of 11819

Prime factors of 11819 are 53, 223. Prime factorization of 11819 in exponential form is:

11819 = 531 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 11806 and 11819.

LCM(11806,11819) = 21 × 59031 × 531 × 2231
LCM(11806,11819) = 139535114