GCF and LCM Calculator Logo

What is the Least Common Multiple of 11827 and 11839?

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 11827 and 11839 is 140019853.

LCM(11827,11839) = 140019853

LCM Calculator and
and

Least Common Multiple of 11827 and 11839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11827 and 11839, than apply into the LCM equation.

GCF(11827,11839) = 1
LCM(11827,11839) = ( 11827 × 11839) / 1
LCM(11827,11839) = 140019853 / 1
LCM(11827,11839) = 140019853

Least Common Multiple (LCM) of 11827 and 11839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11827 and 11839. First we will calculate the prime factors of 11827 and 11839.

Prime Factorization of 11827

Prime factors of 11827 are 11827. Prime factorization of 11827 in exponential form is:

11827 = 118271

Prime Factorization of 11839

Prime factors of 11839 are 11839. Prime factorization of 11839 in exponential form is:

11839 = 118391

Now multiplying the highest exponent prime factors to calculate the LCM of 11827 and 11839.

LCM(11827,11839) = 118271 × 118391
LCM(11827,11839) = 140019853