GCF and LCM Calculator Logo

What is the Least Common Multiple of 92433 and 92439?

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 92433 and 92439 is 2848138029.

LCM(92433,92439) = 2848138029

LCM Calculator and
and

Least Common Multiple of 92433 and 92439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92433 and 92439, than apply into the LCM equation.

GCF(92433,92439) = 3
LCM(92433,92439) = ( 92433 × 92439) / 3
LCM(92433,92439) = 8544414087 / 3
LCM(92433,92439) = 2848138029

Least Common Multiple (LCM) of 92433 and 92439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92433 and 92439. First we will calculate the prime factors of 92433 and 92439.

Prime Factorization of 92433

Prime factors of 92433 are 3, 11, 2801. Prime factorization of 92433 in exponential form is:

92433 = 31 × 111 × 28011

Prime Factorization of 92439

Prime factors of 92439 are 3, 10271. Prime factorization of 92439 in exponential form is:

92439 = 32 × 102711

Now multiplying the highest exponent prime factors to calculate the LCM of 92433 and 92439.

LCM(92433,92439) = 32 × 111 × 28011 × 102711
LCM(92433,92439) = 2848138029