What is the Least Common Multiple of 32265 and 32275?

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 32265 and 32275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32265 and 32275, than apply into the LCM equation.

GCF(32265,32275) = 5
LCM(32265,32275) = ( 32265 × 32275) / 5
LCM(32265,32275) = 1041352875 / 5
LCM(32265,32275) = 208270575

Least Common Multiple (LCM) of 32265 and 32275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32265 and 32275. First we will calculate the prime factors of 32265 and 32275.

Prime Factorization of 32265

Prime Factorization of 32275

Now multiplying the highest exponent prime factors to calculate the LCM of 32265 and 32275.

LCM(32265,32275) = 3³ × 5² × 239¹ × 1291¹
LCM(32265,32275) = 208270575