What is the Least Common Multiple of 34425 and 34443?

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 34443 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 34443, than apply into the LCM equation.

GCF(34425,34443) = 9
LCM(34425,34443) = ( 34425 × 34443) / 9
LCM(34425,34443) = 1185700275 / 9
LCM(34425,34443) = 131744475

Least Common Multiple (LCM) of 34425 and 34443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34425 and 34443. First we will calculate the prime factors of 34425 and 34443.

Prime Factorization of 34425

Prime Factorization of 34443

Now multiplying the highest exponent prime factors to calculate the LCM of 34425 and 34443.

LCM(34425,34443) = 3⁴ × 5² × 17¹ × 43¹ × 89¹
LCM(34425,34443) = 131744475