GCF and LCM Calculator Logo

What is the Least Common Multiple of 17837 and 17845?

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 17837 and 17845 is 318301265.

LCM(17837,17845) = 318301265

LCM Calculator and
and

Least Common Multiple of 17837 and 17845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17837 and 17845, than apply into the LCM equation.

GCF(17837,17845) = 1
LCM(17837,17845) = ( 17837 × 17845) / 1
LCM(17837,17845) = 318301265 / 1
LCM(17837,17845) = 318301265

Least Common Multiple (LCM) of 17837 and 17845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17837 and 17845. First we will calculate the prime factors of 17837 and 17845.

Prime Factorization of 17837

Prime factors of 17837 are 17837. Prime factorization of 17837 in exponential form is:

17837 = 178371

Prime Factorization of 17845

Prime factors of 17845 are 5, 43, 83. Prime factorization of 17845 in exponential form is:

17845 = 51 × 431 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 17837 and 17845.

LCM(17837,17845) = 178371 × 51 × 431 × 831
LCM(17837,17845) = 318301265