What is the Least Common Multiple of 45305 and 45325?

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 45305 and 45325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45305 and 45325, than apply into the LCM equation.

GCF(45305,45325) = 5
LCM(45305,45325) = ( 45305 × 45325) / 5
LCM(45305,45325) = 2053449125 / 5
LCM(45305,45325) = 410689825

Least Common Multiple (LCM) of 45305 and 45325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45305 and 45325. First we will calculate the prime factors of 45305 and 45325.

Prime Factorization of 45305

Prime Factorization of 45325

Now multiplying the highest exponent prime factors to calculate the LCM of 45305 and 45325.

LCM(45305,45325) = 5² × 13¹ × 17¹ × 41¹ × 7² × 37¹
LCM(45305,45325) = 410689825