GCF and LCM Calculator Logo

What is the Least Common Multiple of 17267 and 17287?

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 17267 and 17287 is 298494629.

LCM(17267,17287) = 298494629

LCM Calculator and
and

Least Common Multiple of 17267 and 17287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17267 and 17287, than apply into the LCM equation.

GCF(17267,17287) = 1
LCM(17267,17287) = ( 17267 × 17287) / 1
LCM(17267,17287) = 298494629 / 1
LCM(17267,17287) = 298494629

Least Common Multiple (LCM) of 17267 and 17287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17267 and 17287. First we will calculate the prime factors of 17267 and 17287.

Prime Factorization of 17267

Prime factors of 17267 are 31, 557. Prime factorization of 17267 in exponential form is:

17267 = 311 × 5571

Prime Factorization of 17287

Prime factors of 17287 are 59, 293. Prime factorization of 17287 in exponential form is:

17287 = 591 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 17267 and 17287.

LCM(17267,17287) = 311 × 5571 × 591 × 2931
LCM(17267,17287) = 298494629