What is the Least Common Multiple of 96859 and 96871?

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 96859 and 96871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96859 and 96871, than apply into the LCM equation.

GCF(96859,96871) = 1
LCM(96859,96871) = ( 96859 × 96871) / 1
LCM(96859,96871) = 9382828189 / 1
LCM(96859,96871) = 9382828189

Least Common Multiple (LCM) of 96859 and 96871 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96859 and 96871. First we will calculate the prime factors of 96859 and 96871.

Prime Factorization of 96859

Prime Factorization of 96871

Now multiplying the highest exponent prime factors to calculate the LCM of 96859 and 96871.

LCM(96859,96871) = 7¹ × 101¹ × 137¹ × 73¹ × 1327¹
LCM(96859,96871) = 9382828189