GCF and LCM Calculator Logo

What is the Least Common Multiple of 43443 and 43462?

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 43443 and 43462 is 1888119666.

LCM(43443,43462) = 1888119666

LCM Calculator and
and

Least Common Multiple of 43443 and 43462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43443 and 43462, than apply into the LCM equation.

GCF(43443,43462) = 1
LCM(43443,43462) = ( 43443 × 43462) / 1
LCM(43443,43462) = 1888119666 / 1
LCM(43443,43462) = 1888119666

Least Common Multiple (LCM) of 43443 and 43462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43443 and 43462. First we will calculate the prime factors of 43443 and 43462.

Prime Factorization of 43443

Prime factors of 43443 are 3, 1609. Prime factorization of 43443 in exponential form is:

43443 = 33 × 16091

Prime Factorization of 43462

Prime factors of 43462 are 2, 31, 701. Prime factorization of 43462 in exponential form is:

43462 = 21 × 311 × 7011

Now multiplying the highest exponent prime factors to calculate the LCM of 43443 and 43462.

LCM(43443,43462) = 33 × 16091 × 21 × 311 × 7011
LCM(43443,43462) = 1888119666