What is the Least Common Multiple of 20825 and 20839?

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 20839 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 20839, than apply into the LCM equation.

GCF(20825,20839) = 7
LCM(20825,20839) = ( 20825 × 20839) / 7
LCM(20825,20839) = 433972175 / 7
LCM(20825,20839) = 61996025

Least Common Multiple (LCM) of 20825 and 20839 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20825 and 20839. First we will calculate the prime factors of 20825 and 20839.

Prime Factorization of 20825

Prime Factorization of 20839

Now multiplying the highest exponent prime factors to calculate the LCM of 20825 and 20839.

LCM(20825,20839) = 5² × 7² × 17¹ × 13¹ × 229¹
LCM(20825,20839) = 61996025