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What is the Least Common Multiple of 10857 and 10874?

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 10874 is 118059018.

LCM(10857,10874) = 118059018

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Least Common Multiple of 10857 and 10874 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 10874, than apply into the LCM equation.

GCF(10857,10874) = 1
LCM(10857,10874) = ( 10857 × 10874) / 1
LCM(10857,10874) = 118059018 / 1
LCM(10857,10874) = 118059018

Least Common Multiple (LCM) of 10857 and 10874 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10857 and 10874. First we will calculate the prime factors of 10857 and 10874.

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 10874

Prime factors of 10874 are 2, 5437. Prime factorization of 10874 in exponential form is:

10874 = 21 × 54371

Now multiplying the highest exponent prime factors to calculate the LCM of 10857 and 10874.

LCM(10857,10874) = 31 × 71 × 111 × 471 × 21 × 54371
LCM(10857,10874) = 118059018