What is the Least Common Multiple of 87871 and 87878?

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 87871 and 87878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87871 and 87878, than apply into the LCM equation.

GCF(87871,87878) = 7
LCM(87871,87878) = ( 87871 × 87878) / 7
LCM(87871,87878) = 7721927738 / 7
LCM(87871,87878) = 1103132534

Least Common Multiple (LCM) of 87871 and 87878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87871 and 87878. First we will calculate the prime factors of 87871 and 87878.

Prime Factorization of 87871

Prime Factorization of 87878

Now multiplying the highest exponent prime factors to calculate the LCM of 87871 and 87878.

LCM(87871,87878) = 7¹ × 12553¹ × 2¹ × 6277¹
LCM(87871,87878) = 1103132534