What is the Least Common Multiple of 96426 and 96443?

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 96426 and 96443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96426 and 96443, than apply into the LCM equation.

GCF(96426,96443) = 1
LCM(96426,96443) = ( 96426 × 96443) / 1
LCM(96426,96443) = 9299612718 / 1
LCM(96426,96443) = 9299612718

Least Common Multiple (LCM) of 96426 and 96443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96426 and 96443. First we will calculate the prime factors of 96426 and 96443.

Prime Factorization of 96426

Prime Factorization of 96443

Now multiplying the highest exponent prime factors to calculate the LCM of 96426 and 96443.

LCM(96426,96443) = 2¹ × 3² × 11¹ × 487¹ × 96443¹
LCM(96426,96443) = 9299612718