GCF and LCM Calculator Logo

What is the Least Common Multiple of 16105 and 16117?

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 16105 and 16117 is 259564285.

LCM(16105,16117) = 259564285

LCM Calculator and
and

Least Common Multiple of 16105 and 16117 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16105 and 16117, than apply into the LCM equation.

GCF(16105,16117) = 1
LCM(16105,16117) = ( 16105 × 16117) / 1
LCM(16105,16117) = 259564285 / 1
LCM(16105,16117) = 259564285

Least Common Multiple (LCM) of 16105 and 16117 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16105 and 16117. First we will calculate the prime factors of 16105 and 16117.

Prime Factorization of 16105

Prime factors of 16105 are 5, 3221. Prime factorization of 16105 in exponential form is:

16105 = 51 × 32211

Prime Factorization of 16117

Prime factors of 16117 are 71, 227. Prime factorization of 16117 in exponential form is:

16117 = 711 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 16105 and 16117.

LCM(16105,16117) = 51 × 32211 × 711 × 2271
LCM(16105,16117) = 259564285