What is the Least Common Multiple of 20852 and 20872?

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 20852 and 20872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20852 and 20872, than apply into the LCM equation.

GCF(20852,20872) = 4
LCM(20852,20872) = ( 20852 × 20872) / 4
LCM(20852,20872) = 435222944 / 4
LCM(20852,20872) = 108805736

Least Common Multiple (LCM) of 20852 and 20872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20852 and 20872. First we will calculate the prime factors of 20852 and 20872.

Prime Factorization of 20852

Prime Factorization of 20872

Now multiplying the highest exponent prime factors to calculate the LCM of 20852 and 20872.

LCM(20852,20872) = 2³ × 13¹ × 401¹ × 2609¹
LCM(20852,20872) = 108805736