What is the Least Common Multiple of 96231 and 96243?

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 96231 and 96243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96231 and 96243, than apply into the LCM equation.

GCF(96231,96243) = 3
LCM(96231,96243) = ( 96231 × 96243) / 3
LCM(96231,96243) = 9261560133 / 3
LCM(96231,96243) = 3087186711

Least Common Multiple (LCM) of 96231 and 96243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96231 and 96243. First we will calculate the prime factors of 96231 and 96243.

Prime Factorization of 96231

Prime Factorization of 96243

Now multiplying the highest exponent prime factors to calculate the LCM of 96231 and 96243.

LCM(96231,96243) = 3¹ × 32077¹ × 7¹ × 4583¹
LCM(96231,96243) = 3087186711