What is the Least Common Multiple of 82458 and 82473?

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 82458 and 82473 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82458 and 82473, than apply into the LCM equation.

GCF(82458,82473) = 3
LCM(82458,82473) = ( 82458 × 82473) / 3
LCM(82458,82473) = 6800558634 / 3
LCM(82458,82473) = 2266852878

Least Common Multiple (LCM) of 82458 and 82473 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82458 and 82473. First we will calculate the prime factors of 82458 and 82473.

Prime Factorization of 82458

Prime Factorization of 82473

Now multiplying the highest exponent prime factors to calculate the LCM of 82458 and 82473.

LCM(82458,82473) = 2¹ × 3⁴ × 509¹ × 37¹ × 743¹
LCM(82458,82473) = 2266852878