What is the Least Common Multiple of 96423 and 96441?

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 96423 and 96441 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96423 and 96441, than apply into the LCM equation.

GCF(96423,96441) = 3
LCM(96423,96441) = ( 96423 × 96441) / 3
LCM(96423,96441) = 9299130543 / 3
LCM(96423,96441) = 3099710181

Least Common Multiple (LCM) of 96423 and 96441 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96423 and 96441. First we will calculate the prime factors of 96423 and 96441.

Prime Factorization of 96423

Prime Factorization of 96441

Now multiplying the highest exponent prime factors to calculate the LCM of 96423 and 96441.

LCM(96423,96441) = 3¹ × 32141¹ × 17¹ × 31¹ × 61¹
LCM(96423,96441) = 3099710181