GCF and LCM Calculator Logo

What is the Least Common Multiple of 17269 and 17289?

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 17269 and 17289 is 298563741.

LCM(17269,17289) = 298563741

LCM Calculator and
and

Least Common Multiple of 17269 and 17289 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17269 and 17289, than apply into the LCM equation.

GCF(17269,17289) = 1
LCM(17269,17289) = ( 17269 × 17289) / 1
LCM(17269,17289) = 298563741 / 1
LCM(17269,17289) = 298563741

Least Common Multiple (LCM) of 17269 and 17289 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17269 and 17289. First we will calculate the prime factors of 17269 and 17289.

Prime Factorization of 17269

Prime factors of 17269 are 7, 2467. Prime factorization of 17269 in exponential form is:

17269 = 71 × 24671

Prime Factorization of 17289

Prime factors of 17289 are 3, 17, 113. Prime factorization of 17289 in exponential form is:

17289 = 32 × 171 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 17269 and 17289.

LCM(17269,17289) = 71 × 24671 × 32 × 171 × 1131
LCM(17269,17289) = 298563741