What is the Least Common Multiple of 75433 and 75439?

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 of 75433 and 75439 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 75433 and 75439, than apply into the LCM equation.

GCF(75433,75439) = 1
LCM(75433,75439) = ( 75433 × 75439) / 1
LCM(75433,75439) = 5690590087 / 1
LCM(75433,75439) = 5690590087

Least Common Multiple (LCM) of 75433 and 75439 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 75433 and 75439. First we will calculate the prime factors of 75433 and 75439.

Prime Factorization of 75433

Prime Factorization of 75439

Now multiplying the highest exponent prime factors to calculate the LCM of 75433 and 75439.

LCM(75433,75439) = 241¹ × 313¹ × 7¹ × 13¹ × 829¹
LCM(75433,75439) = 5690590087