What is the Least Common Multiple of 82473 and 82482?

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 82482 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 82482, than apply into the LCM equation.

GCF(82473,82482) = 3
LCM(82473,82482) = ( 82473 × 82482) / 3
LCM(82473,82482) = 6802537986 / 3
LCM(82473,82482) = 2267512662

Least Common Multiple (LCM) of 82473 and 82482 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82473 and 82482. First we will calculate the prime factors of 82473 and 82482.

Prime Factorization of 82473

Prime Factorization of 82482

Now multiplying the highest exponent prime factors to calculate the LCM of 82473 and 82482.

LCM(82473,82482) = 3¹ × 37¹ × 743¹ × 2¹ × 59¹ × 233¹
LCM(82473,82482) = 2267512662