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What is the Least Common Multiple of 10864 and 10883?

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 10883 is 118232912.

LCM(10864,10883) = 118232912

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Least Common Multiple of 10864 and 10883 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 10883, than apply into the LCM equation.

GCF(10864,10883) = 1
LCM(10864,10883) = ( 10864 × 10883) / 1
LCM(10864,10883) = 118232912 / 1
LCM(10864,10883) = 118232912

Least Common Multiple (LCM) of 10864 and 10883 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10864 and 10883. First we will calculate the prime factors of 10864 and 10883.

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 10883

Prime factors of 10883 are 10883. Prime factorization of 10883 in exponential form is:

10883 = 108831

Now multiplying the highest exponent prime factors to calculate the LCM of 10864 and 10883.

LCM(10864,10883) = 24 × 71 × 971 × 108831
LCM(10864,10883) = 118232912