What is the Least Common Multiple of 82478 and 82498?

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 82478 and 82498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82478 and 82498, than apply into the LCM equation.

GCF(82478,82498) = 2
LCM(82478,82498) = ( 82478 × 82498) / 2
LCM(82478,82498) = 6804270044 / 2
LCM(82478,82498) = 3402135022

Least Common Multiple (LCM) of 82478 and 82498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82478 and 82498. First we will calculate the prime factors of 82478 and 82498.

Prime Factorization of 82478

Prime Factorization of 82498

Now multiplying the highest exponent prime factors to calculate the LCM of 82478 and 82498.

LCM(82478,82498) = 2¹ × 11¹ × 23¹ × 163¹ × 13¹ × 19¹ × 167¹
LCM(82478,82498) = 3402135022