GCF and LCM Calculator Logo

What is the Least Common Multiple of 10443 and 10455?

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 10443 and 10455 is 36393855.

LCM(10443,10455) = 36393855

LCM Calculator and
and

Least Common Multiple of 10443 and 10455 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10443 and 10455, than apply into the LCM equation.

GCF(10443,10455) = 3
LCM(10443,10455) = ( 10443 × 10455) / 3
LCM(10443,10455) = 109181565 / 3
LCM(10443,10455) = 36393855

Least Common Multiple (LCM) of 10443 and 10455 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10443 and 10455. First we will calculate the prime factors of 10443 and 10455.

Prime Factorization of 10443

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

10443 = 31 × 592

Prime Factorization of 10455

Prime factors of 10455 are 3, 5, 17, 41. Prime factorization of 10455 in exponential form is:

10455 = 31 × 51 × 171 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10443 and 10455.

LCM(10443,10455) = 31 × 592 × 51 × 171 × 411
LCM(10443,10455) = 36393855