What is the Least Common Multiple of 20328 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 20328 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 20328 and 20341, than apply into the LCM equation.

GCF(20328,20341) = 1
LCM(20328,20341) = ( 20328 × 20341) / 1
LCM(20328,20341) = 413491848 / 1
LCM(20328,20341) = 413491848

Least Common Multiple (LCM) of 20328 and 20341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20328 and 20341. First we will calculate the prime factors of 20328 and 20341.

Prime Factorization of 20328

Prime Factorization of 20341

Now multiplying the highest exponent prime factors to calculate the LCM of 20328 and 20341.

LCM(20328,20341) = 2³ × 3¹ × 7¹ × 11² × 20341¹
LCM(20328,20341) = 413491848