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What is the Least Common Multiple of 10864 and 10882?

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 10864 and 10882 is 59111024.

LCM(10864,10882) = 59111024

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Least Common Multiple of 10864 and 10882 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10864 and 10882, than apply into the LCM equation.

GCF(10864,10882) = 2
LCM(10864,10882) = ( 10864 × 10882) / 2
LCM(10864,10882) = 118222048 / 2
LCM(10864,10882) = 59111024

Least Common Multiple (LCM) of 10864 and 10882 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10864 and 10882. First we will calculate the prime factors of 10864 and 10882.

Prime Factorization of 10864

Prime factors of 10864 are 2, 7, 97. Prime factorization of 10864 in exponential form is:

10864 = 24 × 71 × 971

Prime Factorization of 10882

Prime factors of 10882 are 2, 5441. Prime factorization of 10882 in exponential form is:

10882 = 21 × 54411

Now multiplying the highest exponent prime factors to calculate the LCM of 10864 and 10882.

LCM(10864,10882) = 24 × 71 × 971 × 54411
LCM(10864,10882) = 59111024