What is the Least Common Multiple of 20322 and 20341?

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 20322 and 20341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20322 and 20341, than apply into the LCM equation.

GCF(20322,20341) = 1
LCM(20322,20341) = ( 20322 × 20341) / 1
LCM(20322,20341) = 413369802 / 1
LCM(20322,20341) = 413369802

Least Common Multiple (LCM) of 20322 and 20341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20322 and 20341. First we will calculate the prime factors of 20322 and 20341.

Prime Factorization of 20322

Prime Factorization of 20341

Now multiplying the highest exponent prime factors to calculate the LCM of 20322 and 20341.

LCM(20322,20341) = 2¹ × 3² × 1129¹ × 20341¹
LCM(20322,20341) = 413369802