GCF and LCM Calculator Logo

What is the Least Common Multiple of 36308 and 36317?

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 36308 and 36317 is 1318597636.

LCM(36308,36317) = 1318597636

LCM Calculator and
and

Least Common Multiple of 36308 and 36317 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36308 and 36317, than apply into the LCM equation.

GCF(36308,36317) = 1
LCM(36308,36317) = ( 36308 × 36317) / 1
LCM(36308,36317) = 1318597636 / 1
LCM(36308,36317) = 1318597636

Least Common Multiple (LCM) of 36308 and 36317 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36308 and 36317. First we will calculate the prime factors of 36308 and 36317.

Prime Factorization of 36308

Prime factors of 36308 are 2, 29, 313. Prime factorization of 36308 in exponential form is:

36308 = 22 × 291 × 3131

Prime Factorization of 36317

Prime factors of 36317 are 23, 1579. Prime factorization of 36317 in exponential form is:

36317 = 231 × 15791

Now multiplying the highest exponent prime factors to calculate the LCM of 36308 and 36317.

LCM(36308,36317) = 22 × 291 × 3131 × 231 × 15791
LCM(36308,36317) = 1318597636