What is the Least Common Multiple of 86259 and 86277?

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 86259 and 86277 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86259 and 86277, than apply into the LCM equation.

GCF(86259,86277) = 3
LCM(86259,86277) = ( 86259 × 86277) / 3
LCM(86259,86277) = 7442167743 / 3
LCM(86259,86277) = 2480722581

Least Common Multiple (LCM) of 86259 and 86277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86259 and 86277. First we will calculate the prime factors of 86259 and 86277.

Prime Factorization of 86259

Prime Factorization of 86277

Now multiplying the highest exponent prime factors to calculate the LCM of 86259 and 86277.

LCM(86259,86277) = 3¹ × 28753¹ × 28759¹
LCM(86259,86277) = 2480722581