GCF and LCM Calculator Logo

What is the Least Common Multiple of 17829 and 17839?

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 17829 and 17839 is 318051531.

LCM(17829,17839) = 318051531

LCM Calculator and
and

Least Common Multiple of 17829 and 17839 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17829 and 17839, than apply into the LCM equation.

GCF(17829,17839) = 1
LCM(17829,17839) = ( 17829 × 17839) / 1
LCM(17829,17839) = 318051531 / 1
LCM(17829,17839) = 318051531

Least Common Multiple (LCM) of 17829 and 17839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17829 and 17839. First we will calculate the prime factors of 17829 and 17839.

Prime Factorization of 17829

Prime factors of 17829 are 3, 7, 283. Prime factorization of 17829 in exponential form is:

17829 = 32 × 71 × 2831

Prime Factorization of 17839

Prime factors of 17839 are 17839. Prime factorization of 17839 in exponential form is:

17839 = 178391

Now multiplying the highest exponent prime factors to calculate the LCM of 17829 and 17839.

LCM(17829,17839) = 32 × 71 × 2831 × 178391
LCM(17829,17839) = 318051531