What is the Least Common Multiple of 96801 and 96807?

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 96801 and 96807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96801 and 96807, than apply into the LCM equation.

GCF(96801,96807) = 3
LCM(96801,96807) = ( 96801 × 96807) / 3
LCM(96801,96807) = 9371014407 / 3
LCM(96801,96807) = 3123671469

Least Common Multiple (LCM) of 96801 and 96807 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96801 and 96807. First we will calculate the prime factors of 96801 and 96807.

Prime Factorization of 96801

Prime Factorization of 96807

Now multiplying the highest exponent prime factors to calculate the LCM of 96801 and 96807.

LCM(96801,96807) = 3¹ × 41¹ × 787¹ × 23² × 61¹
LCM(96801,96807) = 3123671469