What is the Least Common Multiple of 20889 and 20904?

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 20889 and 20904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20889 and 20904, than apply into the LCM equation.

GCF(20889,20904) = 3
LCM(20889,20904) = ( 20889 × 20904) / 3
LCM(20889,20904) = 436663656 / 3
LCM(20889,20904) = 145554552

Least Common Multiple (LCM) of 20889 and 20904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20889 and 20904. First we will calculate the prime factors of 20889 and 20904.

Prime Factorization of 20889

Prime Factorization of 20904

Now multiplying the highest exponent prime factors to calculate the LCM of 20889 and 20904.

LCM(20889,20904) = 3² × 11¹ × 211¹ × 2³ × 13¹ × 67¹
LCM(20889,20904) = 145554552