GCF and LCM Calculator Logo

What is the Least Common Multiple of 10336 and 10349?

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 10336 and 10349 is 106967264.

LCM(10336,10349) = 106967264

LCM Calculator and
and

Least Common Multiple of 10336 and 10349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10336 and 10349, than apply into the LCM equation.

GCF(10336,10349) = 1
LCM(10336,10349) = ( 10336 × 10349) / 1
LCM(10336,10349) = 106967264 / 1
LCM(10336,10349) = 106967264

Least Common Multiple (LCM) of 10336 and 10349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10336 and 10349. First we will calculate the prime factors of 10336 and 10349.

Prime Factorization of 10336

Prime factors of 10336 are 2, 17, 19. Prime factorization of 10336 in exponential form is:

10336 = 25 × 171 × 191

Prime Factorization of 10349

Prime factors of 10349 are 79, 131. Prime factorization of 10349 in exponential form is:

10349 = 791 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 10336 and 10349.

LCM(10336,10349) = 25 × 171 × 191 × 791 × 1311
LCM(10336,10349) = 106967264