What is the Least Common Multiple of 86272 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 86272 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 86272 and 86277, than apply into the LCM equation.

GCF(86272,86277) = 1
LCM(86272,86277) = ( 86272 × 86277) / 1
LCM(86272,86277) = 7443289344 / 1
LCM(86272,86277) = 7443289344

Least Common Multiple (LCM) of 86272 and 86277 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86272 and 86277. First we will calculate the prime factors of 86272 and 86277.

Prime Factorization of 86272

Prime Factorization of 86277

Now multiplying the highest exponent prime factors to calculate the LCM of 86272 and 86277.

LCM(86272,86277) = 2⁸ × 337¹ × 3¹ × 28759¹
LCM(86272,86277) = 7443289344