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What is the Least Common Multiple of 10892 and 10906?

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 10892 and 10906 is 8484868.

LCM(10892,10906) = 8484868

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Least Common Multiple of 10892 and 10906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10892 and 10906, than apply into the LCM equation.

GCF(10892,10906) = 14
LCM(10892,10906) = ( 10892 × 10906) / 14
LCM(10892,10906) = 118788152 / 14
LCM(10892,10906) = 8484868

Least Common Multiple (LCM) of 10892 and 10906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10892 and 10906. First we will calculate the prime factors of 10892 and 10906.

Prime Factorization of 10892

Prime factors of 10892 are 2, 7, 389. Prime factorization of 10892 in exponential form is:

10892 = 22 × 71 × 3891

Prime Factorization of 10906

Prime factors of 10906 are 2, 7, 19, 41. Prime factorization of 10906 in exponential form is:

10906 = 21 × 71 × 191 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 10892 and 10906.

LCM(10892,10906) = 22 × 71 × 3891 × 191 × 411
LCM(10892,10906) = 8484868