GCF and LCM Calculator Logo

What is the Least Common Multiple of 96857 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 (LCM) of 96857 and 96877 is 9383215589.

LCM(96857,96877) = 9383215589

LCM Calculator and
and

Least Common Multiple of 96857 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 96857 and 96877, than apply into the LCM equation.

GCF(96857,96877) = 1
LCM(96857,96877) = ( 96857 × 96877) / 1
LCM(96857,96877) = 9383215589 / 1
LCM(96857,96877) = 9383215589

Least Common Multiple (LCM) of 96857 and 96877 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96857 and 96877. First we will calculate the prime factors of 96857 and 96877.

Prime Factorization of 96857

Prime factors of 96857 are 96857. Prime factorization of 96857 in exponential form is:

96857 = 968571

Prime Factorization of 96877

Prime factors of 96877 are 11, 8807. Prime factorization of 96877 in exponential form is:

96877 = 111 × 88071

Now multiplying the highest exponent prime factors to calculate the LCM of 96857 and 96877.

LCM(96857,96877) = 968571 × 111 × 88071
LCM(96857,96877) = 9383215589