What is the Least Common Multiple of 20868 and 20880?

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 20868 and 20880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20868 and 20880, than apply into the LCM equation.

GCF(20868,20880) = 12
LCM(20868,20880) = ( 20868 × 20880) / 12
LCM(20868,20880) = 435723840 / 12
LCM(20868,20880) = 36310320

Least Common Multiple (LCM) of 20868 and 20880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20868 and 20880. First we will calculate the prime factors of 20868 and 20880.

Prime Factorization of 20868

Prime Factorization of 20880

Now multiplying the highest exponent prime factors to calculate the LCM of 20868 and 20880.

LCM(20868,20880) = 2⁴ × 3² × 37¹ × 47¹ × 5¹ × 29¹
LCM(20868,20880) = 36310320