What is the Least Common Multiple of 96845 and 96857?

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 96845 and 96857 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96845 and 96857, than apply into the LCM equation.

GCF(96845,96857) = 1
LCM(96845,96857) = ( 96845 × 96857) / 1
LCM(96845,96857) = 9380116165 / 1
LCM(96845,96857) = 9380116165

Least Common Multiple (LCM) of 96845 and 96857 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96845 and 96857. First we will calculate the prime factors of 96845 and 96857.

Prime Factorization of 96845

Prime Factorization of 96857

Now multiplying the highest exponent prime factors to calculate the LCM of 96845 and 96857.

LCM(96845,96857) = 5¹ × 7¹ × 2767¹ × 96857¹
LCM(96845,96857) = 9380116165