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What is the Least Common Multiple of 20886 and 20906?

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 20886 and 20906 is 218321358.

LCM(20886,20906) = 218321358

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Least Common Multiple of 20886 and 20906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20886 and 20906, than apply into the LCM equation.

GCF(20886,20906) = 2
LCM(20886,20906) = ( 20886 × 20906) / 2
LCM(20886,20906) = 436642716 / 2
LCM(20886,20906) = 218321358

Least Common Multiple (LCM) of 20886 and 20906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20886 and 20906. First we will calculate the prime factors of 20886 and 20906.

Prime Factorization of 20886

Prime factors of 20886 are 2, 3, 59. Prime factorization of 20886 in exponential form is:

20886 = 21 × 31 × 592

Prime Factorization of 20906

Prime factors of 20906 are 2, 10453. Prime factorization of 20906 in exponential form is:

20906 = 21 × 104531

Now multiplying the highest exponent prime factors to calculate the LCM of 20886 and 20906.

LCM(20886,20906) = 21 × 31 × 592 × 104531
LCM(20886,20906) = 218321358