What is the Least Common Multiple of 34425 and 34431?

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 34425 and 34431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 34425 and 34431, than apply into the LCM equation.

GCF(34425,34431) = 3
LCM(34425,34431) = ( 34425 × 34431) / 3
LCM(34425,34431) = 1185287175 / 3
LCM(34425,34431) = 395095725

Least Common Multiple (LCM) of 34425 and 34431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34425 and 34431. First we will calculate the prime factors of 34425 and 34431.

Prime Factorization of 34425

Prime Factorization of 34431

Now multiplying the highest exponent prime factors to calculate the LCM of 34425 and 34431.

LCM(34425,34431) = 3⁴ × 5² × 17¹ × 23¹ × 499¹
LCM(34425,34431) = 395095725