What is the Least Common Multiple of 17705 and 17725?

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 17705 and 17725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17705 and 17725, than apply into the LCM equation.

GCF(17705,17725) = 5
LCM(17705,17725) = ( 17705 × 17725) / 5
LCM(17705,17725) = 313821125 / 5
LCM(17705,17725) = 62764225

Least Common Multiple (LCM) of 17705 and 17725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17705 and 17725. First we will calculate the prime factors of 17705 and 17725.

Prime Factorization of 17705

Prime Factorization of 17725

Now multiplying the highest exponent prime factors to calculate the LCM of 17705 and 17725.

LCM(17705,17725) = 5² × 3541¹ × 709¹
LCM(17705,17725) = 62764225