What is the Least Common Multiple of 86265 and 86275?

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 86265 and 86275 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86265 and 86275, than apply into the LCM equation.

GCF(86265,86275) = 5
LCM(86265,86275) = ( 86265 × 86275) / 5
LCM(86265,86275) = 7442512875 / 5
LCM(86265,86275) = 1488502575

Least Common Multiple (LCM) of 86265 and 86275 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86265 and 86275. First we will calculate the prime factors of 86265 and 86275.

Prime Factorization of 86265

Prime Factorization of 86275

Now multiplying the highest exponent prime factors to calculate the LCM of 86265 and 86275.

LCM(86265,86275) = 3⁵ × 5² × 71¹ × 7¹ × 17¹ × 29¹
LCM(86265,86275) = 1488502575