What is the Least Common Multiple of 96876 and 96887?

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 96876 and 96887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96876 and 96887, than apply into the LCM equation.

GCF(96876,96887) = 1
LCM(96876,96887) = ( 96876 × 96887) / 1
LCM(96876,96887) = 9386025012 / 1
LCM(96876,96887) = 9386025012

Least Common Multiple (LCM) of 96876 and 96887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96876 and 96887. First we will calculate the prime factors of 96876 and 96887.

Prime Factorization of 96876

Prime Factorization of 96887

Now multiplying the highest exponent prime factors to calculate the LCM of 96876 and 96887.

LCM(96876,96887) = 2² × 3⁴ × 13¹ × 23¹ × 7¹ × 13841¹
LCM(96876,96887) = 9386025012