What is the Least Common Multiple of 82413 and 82432?

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 82413 and 82432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82413 and 82432, than apply into the LCM equation.

GCF(82413,82432) = 1
LCM(82413,82432) = ( 82413 × 82432) / 1
LCM(82413,82432) = 6793468416 / 1
LCM(82413,82432) = 6793468416

Least Common Multiple (LCM) of 82413 and 82432 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82413 and 82432. First we will calculate the prime factors of 82413 and 82432.

Prime Factorization of 82413

Prime Factorization of 82432

Now multiplying the highest exponent prime factors to calculate the LCM of 82413 and 82432.

LCM(82413,82432) = 3² × 9157¹ × 2⁹ × 7¹ × 23¹
LCM(82413,82432) = 6793468416