What is the Least Common Multiple of 96369 and 96375?

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 96369 and 96375 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96369 and 96375, than apply into the LCM equation.

GCF(96369,96375) = 3
LCM(96369,96375) = ( 96369 × 96375) / 3
LCM(96369,96375) = 9287562375 / 3
LCM(96369,96375) = 3095854125

Least Common Multiple (LCM) of 96369 and 96375 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96369 and 96375. First we will calculate the prime factors of 96369 and 96375.

Prime Factorization of 96369

Prime Factorization of 96375

Now multiplying the highest exponent prime factors to calculate the LCM of 96369 and 96375.

LCM(96369,96375) = 3¹ × 7¹ × 13¹ × 353¹ × 5³ × 257¹
LCM(96369,96375) = 3095854125