What is the Least Common Multiple of 82430 and 82443?

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 82430 and 82443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82430 and 82443, than apply into the LCM equation.

GCF(82430,82443) = 1
LCM(82430,82443) = ( 82430 × 82443) / 1
LCM(82430,82443) = 6795776490 / 1
LCM(82430,82443) = 6795776490

Least Common Multiple (LCM) of 82430 and 82443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82430 and 82443. First we will calculate the prime factors of 82430 and 82443.

Prime Factorization of 82430

Prime Factorization of 82443

Now multiplying the highest exponent prime factors to calculate the LCM of 82430 and 82443.

LCM(82430,82443) = 2¹ × 5¹ × 8243¹ × 3¹ × 27481¹
LCM(82430,82443) = 6795776490