What is the Least Common Multiple of 12305 and 12325?

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 12305 and 12325 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12305 and 12325, than apply into the LCM equation.

GCF(12305,12325) = 5
LCM(12305,12325) = ( 12305 × 12325) / 5
LCM(12305,12325) = 151659125 / 5
LCM(12305,12325) = 30331825

Least Common Multiple (LCM) of 12305 and 12325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12305 and 12325. First we will calculate the prime factors of 12305 and 12325.

Prime Factorization of 12305

Prime Factorization of 12325

Now multiplying the highest exponent prime factors to calculate the LCM of 12305 and 12325.

LCM(12305,12325) = 5² × 23¹ × 107¹ × 17¹ × 29¹
LCM(12305,12325) = 30331825