What is the Least Common Multiple of 32265 and 32285?

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 32285 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 32285, than apply into the LCM equation.

GCF(32265,32285) = 5
LCM(32265,32285) = ( 32265 × 32285) / 5
LCM(32265,32285) = 1041675525 / 5
LCM(32265,32285) = 208335105

Least Common Multiple (LCM) of 32265 and 32285 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32265 and 32285. First we will calculate the prime factors of 32265 and 32285.

Prime Factorization of 32265

Prime Factorization of 32285

Now multiplying the highest exponent prime factors to calculate the LCM of 32265 and 32285.

LCM(32265,32285) = 3³ × 5¹ × 239¹ × 11¹ × 587¹
LCM(32265,32285) = 208335105