What is the Least Common Multiple of 20814 and 20825?

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 20814 and 20825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20814 and 20825, than apply into the LCM equation.

GCF(20814,20825) = 1
LCM(20814,20825) = ( 20814 × 20825) / 1
LCM(20814,20825) = 433451550 / 1
LCM(20814,20825) = 433451550

Least Common Multiple (LCM) of 20814 and 20825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20814 and 20825. First we will calculate the prime factors of 20814 and 20825.

Prime Factorization of 20814

Prime Factorization of 20825

Now multiplying the highest exponent prime factors to calculate the LCM of 20814 and 20825.

LCM(20814,20825) = 2¹ × 3¹ × 3469¹ × 5² × 7² × 17¹
LCM(20814,20825) = 433451550