What is the Least Common Multiple of 86275 and 86287?

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 86275 and 86287 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86275 and 86287, than apply into the LCM equation.

GCF(86275,86287) = 1
LCM(86275,86287) = ( 86275 × 86287) / 1
LCM(86275,86287) = 7444410925 / 1
LCM(86275,86287) = 7444410925

Least Common Multiple (LCM) of 86275 and 86287 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86275 and 86287. First we will calculate the prime factors of 86275 and 86287.

Prime Factorization of 86275

Prime Factorization of 86287

Now multiplying the highest exponent prime factors to calculate the LCM of 86275 and 86287.

LCM(86275,86287) = 5² × 7¹ × 17¹ × 29¹ × 86287¹
LCM(86275,86287) = 7444410925