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What is the Least Common Multiple of 10857 and 10864?

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 10857 and 10864 is 16850064.

LCM(10857,10864) = 16850064

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Least Common Multiple of 10857 and 10864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10857 and 10864, than apply into the LCM equation.

GCF(10857,10864) = 7
LCM(10857,10864) = ( 10857 × 10864) / 7
LCM(10857,10864) = 117950448 / 7
LCM(10857,10864) = 16850064

Least Common Multiple (LCM) of 10857 and 10864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10857 and 10864. First we will calculate the prime factors of 10857 and 10864.

Prime Factorization of 10857

Prime factors of 10857 are 3, 7, 11, 47. Prime factorization of 10857 in exponential form is:

10857 = 31 × 71 × 111 × 471

Prime Factorization of 10864

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

10864 = 24 × 71 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 10857 and 10864.

LCM(10857,10864) = 31 × 71 × 111 × 471 × 24 × 971
LCM(10857,10864) = 16850064