What is the Least Common Multiple of 96871 and 96889?

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 96871 and 96889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96871 and 96889, than apply into the LCM equation.

GCF(96871,96889) = 1
LCM(96871,96889) = ( 96871 × 96889) / 1
LCM(96871,96889) = 9385734319 / 1
LCM(96871,96889) = 9385734319

Least Common Multiple (LCM) of 96871 and 96889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96871 and 96889. First we will calculate the prime factors of 96871 and 96889.

Prime Factorization of 96871

Prime Factorization of 96889

Now multiplying the highest exponent prime factors to calculate the LCM of 96871 and 96889.

LCM(96871,96889) = 73¹ × 1327¹ × 13¹ × 29¹ × 257¹
LCM(96871,96889) = 9385734319