What is the Least Common Multiple of 96435 and 96447?

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 96435 and 96447 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96435 and 96447, than apply into the LCM equation.

GCF(96435,96447) = 3
LCM(96435,96447) = ( 96435 × 96447) / 3
LCM(96435,96447) = 9300866445 / 3
LCM(96435,96447) = 3100288815

Least Common Multiple (LCM) of 96435 and 96447 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96435 and 96447. First we will calculate the prime factors of 96435 and 96447.

Prime Factorization of 96435

Prime Factorization of 96447

Now multiplying the highest exponent prime factors to calculate the LCM of 96435 and 96447.

LCM(96435,96447) = 3² × 5¹ × 2143¹ × 13¹ × 2473¹
LCM(96435,96447) = 3100288815