What is the Least Common Multiple of 96842 and 96847?

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 96842 and 96847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96842 and 96847, than apply into the LCM equation.

GCF(96842,96847) = 1
LCM(96842,96847) = ( 96842 × 96847) / 1
LCM(96842,96847) = 9378857174 / 1
LCM(96842,96847) = 9378857174

Least Common Multiple (LCM) of 96842 and 96847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96842 and 96847. First we will calculate the prime factors of 96842 and 96847.

Prime Factorization of 96842

Prime Factorization of 96847

Now multiplying the highest exponent prime factors to calculate the LCM of 96842 and 96847.

LCM(96842,96847) = 2¹ × 41¹ × 1181¹ × 96847¹
LCM(96842,96847) = 9378857174