What is the Least Common Multiple of 82900 and 82908?

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 82900 and 82908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82900 and 82908, than apply into the LCM equation.

GCF(82900,82908) = 4
LCM(82900,82908) = ( 82900 × 82908) / 4
LCM(82900,82908) = 6873073200 / 4
LCM(82900,82908) = 1718268300

Least Common Multiple (LCM) of 82900 and 82908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82900 and 82908. First we will calculate the prime factors of 82900 and 82908.

Prime Factorization of 82900

Prime Factorization of 82908

Now multiplying the highest exponent prime factors to calculate the LCM of 82900 and 82908.

LCM(82900,82908) = 2² × 5² × 829¹ × 3² × 7² × 47¹
LCM(82900,82908) = 1718268300