GCF and LCM Calculator Logo

What is the Least Common Multiple of 10329 and 10334?

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 10329 and 10334 is 106739886.

LCM(10329,10334) = 106739886

LCM Calculator and
and

Least Common Multiple of 10329 and 10334 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10329 and 10334, than apply into the LCM equation.

GCF(10329,10334) = 1
LCM(10329,10334) = ( 10329 × 10334) / 1
LCM(10329,10334) = 106739886 / 1
LCM(10329,10334) = 106739886

Least Common Multiple (LCM) of 10329 and 10334 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10329 and 10334. First we will calculate the prime factors of 10329 and 10334.

Prime Factorization of 10329

Prime factors of 10329 are 3, 11, 313. Prime factorization of 10329 in exponential form is:

10329 = 31 × 111 × 3131

Prime Factorization of 10334

Prime factors of 10334 are 2, 5167. Prime factorization of 10334 in exponential form is:

10334 = 21 × 51671

Now multiplying the highest exponent prime factors to calculate the LCM of 10329 and 10334.

LCM(10329,10334) = 31 × 111 × 3131 × 21 × 51671
LCM(10329,10334) = 106739886