What is the Least Common Multiple of 96276 and 96291?

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 96276 and 96291 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96276 and 96291, than apply into the LCM equation.

GCF(96276,96291) = 3
LCM(96276,96291) = ( 96276 × 96291) / 3
LCM(96276,96291) = 9270512316 / 3
LCM(96276,96291) = 3090170772

Least Common Multiple (LCM) of 96276 and 96291 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96276 and 96291. First we will calculate the prime factors of 96276 and 96291.

Prime Factorization of 96276

Prime Factorization of 96291

Now multiplying the highest exponent prime factors to calculate the LCM of 96276 and 96291.

LCM(96276,96291) = 2² × 3² × 71¹ × 113¹ × 13¹ × 823¹
LCM(96276,96291) = 3090170772