What is the Least Common Multiple of 82473 and 82493?

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 82473 and 82493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82473 and 82493, than apply into the LCM equation.

GCF(82473,82493) = 1
LCM(82473,82493) = ( 82473 × 82493) / 1
LCM(82473,82493) = 6803445189 / 1
LCM(82473,82493) = 6803445189

Least Common Multiple (LCM) of 82473 and 82493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82473 and 82493. First we will calculate the prime factors of 82473 and 82493.

Prime Factorization of 82473

Prime Factorization of 82493

Now multiplying the highest exponent prime factors to calculate the LCM of 82473 and 82493.

LCM(82473,82493) = 3¹ × 37¹ × 743¹ × 82493¹
LCM(82473,82493) = 6803445189