GCF and LCM Calculator Logo

What is the Least Common Multiple of 10423 and 10443?

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 10423 and 10443 is 108847389.

LCM(10423,10443) = 108847389

LCM Calculator and
and

Least Common Multiple of 10423 and 10443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10423 and 10443, than apply into the LCM equation.

GCF(10423,10443) = 1
LCM(10423,10443) = ( 10423 × 10443) / 1
LCM(10423,10443) = 108847389 / 1
LCM(10423,10443) = 108847389

Least Common Multiple (LCM) of 10423 and 10443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10423 and 10443. First we will calculate the prime factors of 10423 and 10443.

Prime Factorization of 10423

Prime factors of 10423 are 7, 1489. Prime factorization of 10423 in exponential form is:

10423 = 71 × 14891

Prime Factorization of 10443

Prime factors of 10443 are 3, 59. Prime factorization of 10443 in exponential form is:

10443 = 31 × 592

Now multiplying the highest exponent prime factors to calculate the LCM of 10423 and 10443.

LCM(10423,10443) = 71 × 14891 × 31 × 592
LCM(10423,10443) = 108847389