GCF and LCM Calculator Logo

What is the Least Common Multiple of 17441 and 17457?

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 17441 and 17457 is 304467537.

LCM(17441,17457) = 304467537

LCM Calculator and
and

Least Common Multiple of 17441 and 17457 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17441 and 17457, than apply into the LCM equation.

GCF(17441,17457) = 1
LCM(17441,17457) = ( 17441 × 17457) / 1
LCM(17441,17457) = 304467537 / 1
LCM(17441,17457) = 304467537

Least Common Multiple (LCM) of 17441 and 17457 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17441 and 17457. First we will calculate the prime factors of 17441 and 17457.

Prime Factorization of 17441

Prime factors of 17441 are 107, 163. Prime factorization of 17441 in exponential form is:

17441 = 1071 × 1631

Prime Factorization of 17457

Prime factors of 17457 are 3, 11, 23. Prime factorization of 17457 in exponential form is:

17457 = 31 × 111 × 232

Now multiplying the highest exponent prime factors to calculate the LCM of 17441 and 17457.

LCM(17441,17457) = 1071 × 1631 × 31 × 111 × 232
LCM(17441,17457) = 304467537