What is the Least Common Multiple of 34425 and 34437?

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 34437 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 34437, than apply into the LCM equation.

GCF(34425,34437) = 3
LCM(34425,34437) = ( 34425 × 34437) / 3
LCM(34425,34437) = 1185493725 / 3
LCM(34425,34437) = 395164575

Least Common Multiple (LCM) of 34425 and 34437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 34425 and 34437. First we will calculate the prime factors of 34425 and 34437.

Prime Factorization of 34425

Prime Factorization of 34437

Now multiplying the highest exponent prime factors to calculate the LCM of 34425 and 34437.

LCM(34425,34437) = 3⁴ × 5² × 17¹ × 13¹ × 883¹
LCM(34425,34437) = 395164575