What is the Least Common Multiple of 20874 and 20882?

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 20874 and 20882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20874 and 20882, than apply into the LCM equation.

GCF(20874,20882) = 2
LCM(20874,20882) = ( 20874 × 20882) / 2
LCM(20874,20882) = 435890868 / 2
LCM(20874,20882) = 217945434

Least Common Multiple (LCM) of 20874 and 20882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20874 and 20882. First we will calculate the prime factors of 20874 and 20882.

Prime Factorization of 20874

Prime Factorization of 20882

Now multiplying the highest exponent prime factors to calculate the LCM of 20874 and 20882.

LCM(20874,20882) = 2¹ × 3¹ × 7² × 71¹ × 53¹ × 197¹
LCM(20874,20882) = 217945434