What is the Least Common Multiple of 96861 and 96877?

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 96861 and 96877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96861 and 96877, than apply into the LCM equation.

GCF(96861,96877) = 1
LCM(96861,96877) = ( 96861 × 96877) / 1
LCM(96861,96877) = 9383603097 / 1
LCM(96861,96877) = 9383603097

Least Common Multiple (LCM) of 96861 and 96877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96861 and 96877. First we will calculate the prime factors of 96861 and 96877.

Prime Factorization of 96861

Prime Factorization of 96877

Now multiplying the highest exponent prime factors to calculate the LCM of 96861 and 96877.

LCM(96861,96877) = 3¹ × 83¹ × 389¹ × 11¹ × 8807¹
LCM(96861,96877) = 9383603097