What is the Least Common Multiple of 20880 and 20887?

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 20880 and 20887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20880 and 20887, than apply into the LCM equation.

GCF(20880,20887) = 1
LCM(20880,20887) = ( 20880 × 20887) / 1
LCM(20880,20887) = 436120560 / 1
LCM(20880,20887) = 436120560

Least Common Multiple (LCM) of 20880 and 20887 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20880 and 20887. First we will calculate the prime factors of 20880 and 20887.

Prime Factorization of 20880

Prime Factorization of 20887

Now multiplying the highest exponent prime factors to calculate the LCM of 20880 and 20887.

LCM(20880,20887) = 2⁴ × 3² × 5¹ × 29¹ × 20887¹
LCM(20880,20887) = 436120560