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What is the Least Common Multiple of 20872 and 20878?

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 20878 is 217882808.

LCM(20872,20878) = 217882808

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Least Common Multiple of 20872 and 20878 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 20878, than apply into the LCM equation.

GCF(20872,20878) = 2
LCM(20872,20878) = ( 20872 × 20878) / 2
LCM(20872,20878) = 435765616 / 2
LCM(20872,20878) = 217882808

Least Common Multiple (LCM) of 20872 and 20878 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20872 and 20878. First we will calculate the prime factors of 20872 and 20878.

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 20878

Prime factors of 20878 are 2, 11, 13, 73. Prime factorization of 20878 in exponential form is:

20878 = 21 × 111 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 20872 and 20878.

LCM(20872,20878) = 23 × 26091 × 111 × 131 × 731
LCM(20872,20878) = 217882808