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What is the Least Common Multiple of 20872 and 20889?

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 (LCM) of 20872 and 20889 is 435995208.

LCM(20872,20889) = 435995208

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Least Common Multiple of 20872 and 20889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20872 and 20889, than apply into the LCM equation.

GCF(20872,20889) = 1
LCM(20872,20889) = ( 20872 × 20889) / 1
LCM(20872,20889) = 435995208 / 1
LCM(20872,20889) = 435995208

Least Common Multiple (LCM) of 20872 and 20889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20872 and 20889. First we will calculate the prime factors of 20872 and 20889.

Prime Factorization of 20872

Prime factors of 20872 are 2, 2609. Prime factorization of 20872 in exponential form is:

20872 = 23 × 26091

Prime Factorization of 20889

Prime factors of 20889 are 3, 11, 211. Prime factorization of 20889 in exponential form is:

20889 = 32 × 111 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 20872 and 20889.

LCM(20872,20889) = 23 × 26091 × 32 × 111 × 2111
LCM(20872,20889) = 435995208