What is the Least Common Multiple of 20825 and 20837?

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 20825 and 20837 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20825 and 20837, than apply into the LCM equation.

GCF(20825,20837) = 1
LCM(20825,20837) = ( 20825 × 20837) / 1
LCM(20825,20837) = 433930525 / 1
LCM(20825,20837) = 433930525

Least Common Multiple (LCM) of 20825 and 20837 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20825 and 20837. First we will calculate the prime factors of 20825 and 20837.

Prime Factorization of 20825

Prime Factorization of 20837

Now multiplying the highest exponent prime factors to calculate the LCM of 20825 and 20837.

LCM(20825,20837) = 5² × 7² × 17¹ × 67¹ × 311¹
LCM(20825,20837) = 433930525