GCF and LCM Calculator Logo

What is the Least Common Multiple of 17170 and 17190?

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 17170 and 17190 is 29515230.

LCM(17170,17190) = 29515230

LCM Calculator and
and

Least Common Multiple of 17170 and 17190 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17170 and 17190, than apply into the LCM equation.

GCF(17170,17190) = 10
LCM(17170,17190) = ( 17170 × 17190) / 10
LCM(17170,17190) = 295152300 / 10
LCM(17170,17190) = 29515230

Least Common Multiple (LCM) of 17170 and 17190 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17170 and 17190. First we will calculate the prime factors of 17170 and 17190.

Prime Factorization of 17170

Prime factors of 17170 are 2, 5, 17, 101. Prime factorization of 17170 in exponential form is:

17170 = 21 × 51 × 171 × 1011

Prime Factorization of 17190

Prime factors of 17190 are 2, 3, 5, 191. Prime factorization of 17190 in exponential form is:

17190 = 21 × 32 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 17170 and 17190.

LCM(17170,17190) = 21 × 51 × 171 × 1011 × 32 × 1911
LCM(17170,17190) = 29515230