What is the Least Common Multiple of 96843 and 96859?

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 96843 and 96859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96843 and 96859, than apply into the LCM equation.

GCF(96843,96859) = 1
LCM(96843,96859) = ( 96843 × 96859) / 1
LCM(96843,96859) = 9380116137 / 1
LCM(96843,96859) = 9380116137

Least Common Multiple (LCM) of 96843 and 96859 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96843 and 96859. First we will calculate the prime factors of 96843 and 96859.

Prime Factorization of 96843

Prime Factorization of 96859

Now multiplying the highest exponent prime factors to calculate the LCM of 96843 and 96859.

LCM(96843,96859) = 3¹ × 19¹ × 1699¹ × 7¹ × 101¹ × 137¹
LCM(96843,96859) = 9380116137