GCF and LCM Calculator Logo

What is the Least Common Multiple of 17439 and 17453?

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 17439 and 17453 is 304362867.

LCM(17439,17453) = 304362867

LCM Calculator and
and

Least Common Multiple of 17439 and 17453 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17439 and 17453, than apply into the LCM equation.

GCF(17439,17453) = 1
LCM(17439,17453) = ( 17439 × 17453) / 1
LCM(17439,17453) = 304362867 / 1
LCM(17439,17453) = 304362867

Least Common Multiple (LCM) of 17439 and 17453 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17439 and 17453. First we will calculate the prime factors of 17439 and 17453.

Prime Factorization of 17439

Prime factors of 17439 are 3, 5813. Prime factorization of 17439 in exponential form is:

17439 = 31 × 58131

Prime Factorization of 17453

Prime factors of 17453 are 31, 563. Prime factorization of 17453 in exponential form is:

17453 = 311 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 17439 and 17453.

LCM(17439,17453) = 31 × 58131 × 311 × 5631
LCM(17439,17453) = 304362867