What is the Least Common Multiple of 8705 and 8725?

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 8705 and 8725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8705 and 8725, than apply into the LCM equation.

GCF(8705,8725) = 5
LCM(8705,8725) = ( 8705 × 8725) / 5
LCM(8705,8725) = 75951125 / 5
LCM(8705,8725) = 15190225

Least Common Multiple (LCM) of 8705 and 8725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8705 and 8725. First we will calculate the prime factors of 8705 and 8725.

Prime Factorization of 8705

Prime Factorization of 8725

Now multiplying the highest exponent prime factors to calculate the LCM of 8705 and 8725.

LCM(8705,8725) = 5² × 1741¹ × 349¹
LCM(8705,8725) = 15190225