What is the Least Common Multiple of 96795 and 96801?

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 96795 and 96801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96795 and 96801, than apply into the LCM equation.

GCF(96795,96801) = 3
LCM(96795,96801) = ( 96795 × 96801) / 3
LCM(96795,96801) = 9369852795 / 3
LCM(96795,96801) = 3123284265

Least Common Multiple (LCM) of 96795 and 96801 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96795 and 96801. First we will calculate the prime factors of 96795 and 96801.

Prime Factorization of 96795

Prime Factorization of 96801

Now multiplying the highest exponent prime factors to calculate the LCM of 96795 and 96801.

LCM(96795,96801) = 3⁴ × 5¹ × 239¹ × 41¹ × 787¹
LCM(96795,96801) = 3123284265