What is the Least Common Multiple of 82430 and 82442?

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 82442 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 82442, than apply into the LCM equation.

GCF(82430,82442) = 2
LCM(82430,82442) = ( 82430 × 82442) / 2
LCM(82430,82442) = 6795694060 / 2
LCM(82430,82442) = 3397847030

Least Common Multiple (LCM) of 82430 and 82442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82430 and 82442. First we will calculate the prime factors of 82430 and 82442.

Prime Factorization of 82430

Prime Factorization of 82442

Now multiplying the highest exponent prime factors to calculate the LCM of 82430 and 82442.

LCM(82430,82442) = 2¹ × 5¹ × 8243¹ × 41221¹
LCM(82430,82442) = 3397847030