What is the Least Common Multiple of 86752 and 86771?

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 86752 and 86771 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 86752 and 86771, than apply into the LCM equation.

GCF(86752,86771) = 1
LCM(86752,86771) = ( 86752 × 86771) / 1
LCM(86752,86771) = 7527557792 / 1
LCM(86752,86771) = 7527557792

Least Common Multiple (LCM) of 86752 and 86771 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 86752 and 86771. First we will calculate the prime factors of 86752 and 86771.

Prime Factorization of 86752

Prime Factorization of 86771

Now multiplying the highest exponent prime factors to calculate the LCM of 86752 and 86771.

LCM(86752,86771) = 2⁵ × 2711¹ × 86771¹
LCM(86752,86771) = 7527557792