What is the Least Common Multiple of 43405 and 43425?

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 43405 and 43425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 43405 and 43425, than apply into the LCM equation.

GCF(43405,43425) = 5
LCM(43405,43425) = ( 43405 × 43425) / 5
LCM(43405,43425) = 1884862125 / 5
LCM(43405,43425) = 376972425

Least Common Multiple (LCM) of 43405 and 43425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 43405 and 43425. First we will calculate the prime factors of 43405 and 43425.

Prime Factorization of 43405

Prime Factorization of 43425

Now multiplying the highest exponent prime factors to calculate the LCM of 43405 and 43425.

LCM(43405,43425) = 5² × 8681¹ × 3² × 193¹
LCM(43405,43425) = 376972425