What is the Least Common Multiple of 82457 and 82474?

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 82457 and 82474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82457 and 82474, than apply into the LCM equation.

GCF(82457,82474) = 1
LCM(82457,82474) = ( 82457 × 82474) / 1
LCM(82457,82474) = 6800558618 / 1
LCM(82457,82474) = 6800558618

Least Common Multiple (LCM) of 82457 and 82474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82457 and 82474. First we will calculate the prime factors of 82457 and 82474.

Prime Factorization of 82457

Prime Factorization of 82474

Now multiplying the highest exponent prime factors to calculate the LCM of 82457 and 82474.

LCM(82457,82474) = 82457¹ × 2¹ × 7¹ × 43¹ × 137¹
LCM(82457,82474) = 6800558618