What is the Least Common Multiple of 82450 and 82462?

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 82450 and 82462 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82450 and 82462, than apply into the LCM equation.

GCF(82450,82462) = 2
LCM(82450,82462) = ( 82450 × 82462) / 2
LCM(82450,82462) = 6798991900 / 2
LCM(82450,82462) = 3399495950

Least Common Multiple (LCM) of 82450 and 82462 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82450 and 82462. First we will calculate the prime factors of 82450 and 82462.

Prime Factorization of 82450

Prime Factorization of 82462

Now multiplying the highest exponent prime factors to calculate the LCM of 82450 and 82462.

LCM(82450,82462) = 2¹ × 5² × 17¹ × 97¹ × 41231¹
LCM(82450,82462) = 3399495950