What is the Least Common Multiple of 82418 and 82431?

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 82418 and 82431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82418 and 82431, than apply into the LCM equation.

GCF(82418,82431) = 1
LCM(82418,82431) = ( 82418 × 82431) / 1
LCM(82418,82431) = 6793798158 / 1
LCM(82418,82431) = 6793798158

Least Common Multiple (LCM) of 82418 and 82431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82418 and 82431. First we will calculate the prime factors of 82418 and 82431.

Prime Factorization of 82418

Prime Factorization of 82431

Now multiplying the highest exponent prime factors to calculate the LCM of 82418 and 82431.

LCM(82418,82431) = 2¹ × 7² × 29² × 3³ × 43¹ × 71¹
LCM(82418,82431) = 6793798158