What is the Least Common Multiple of 20314 and 20322?

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 20314 and 20322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20314 and 20322, than apply into the LCM equation.

GCF(20314,20322) = 2
LCM(20314,20322) = ( 20314 × 20322) / 2
LCM(20314,20322) = 412821108 / 2
LCM(20314,20322) = 206410554

Least Common Multiple (LCM) of 20314 and 20322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20314 and 20322. First we will calculate the prime factors of 20314 and 20322.

Prime Factorization of 20314

Prime Factorization of 20322

Now multiplying the highest exponent prime factors to calculate the LCM of 20314 and 20322.

LCM(20314,20322) = 2¹ × 7¹ × 1451¹ × 3² × 1129¹
LCM(20314,20322) = 206410554