What is the Least Common Multiple of 96788 and 96795?

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 96788 and 96795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96788 and 96795, than apply into the LCM equation.

GCF(96788,96795) = 1
LCM(96788,96795) = ( 96788 × 96795) / 1
LCM(96788,96795) = 9368594460 / 1
LCM(96788,96795) = 9368594460

Least Common Multiple (LCM) of 96788 and 96795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96788 and 96795. First we will calculate the prime factors of 96788 and 96795.

Prime Factorization of 96788

Prime Factorization of 96795

Now multiplying the highest exponent prime factors to calculate the LCM of 96788 and 96795.

LCM(96788,96795) = 2² × 24197¹ × 3⁴ × 5¹ × 239¹
LCM(96788,96795) = 9368594460