GCF and LCM Calculator Logo

What is the Least Common Multiple of 17090 and 17100?

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 17090 and 17100 is 29223900.

LCM(17090,17100) = 29223900

LCM Calculator and
and

Least Common Multiple of 17090 and 17100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17090 and 17100, than apply into the LCM equation.

GCF(17090,17100) = 10
LCM(17090,17100) = ( 17090 × 17100) / 10
LCM(17090,17100) = 292239000 / 10
LCM(17090,17100) = 29223900

Least Common Multiple (LCM) of 17090 and 17100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17090 and 17100. First we will calculate the prime factors of 17090 and 17100.

Prime Factorization of 17090

Prime factors of 17090 are 2, 5, 1709. Prime factorization of 17090 in exponential form is:

17090 = 21 × 51 × 17091

Prime Factorization of 17100

Prime factors of 17100 are 2, 3, 5, 19. Prime factorization of 17100 in exponential form is:

17100 = 22 × 32 × 52 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 17090 and 17100.

LCM(17090,17100) = 22 × 52 × 17091 × 32 × 191
LCM(17090,17100) = 29223900