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What is the Least Common Multiple of 6873 and 6885?

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 6873 and 6885 is 15773535.

LCM(6873,6885) = 15773535

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Least Common Multiple of 6873 and 6885 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6873 and 6885, than apply into the LCM equation.

GCF(6873,6885) = 3
LCM(6873,6885) = ( 6873 × 6885) / 3
LCM(6873,6885) = 47320605 / 3
LCM(6873,6885) = 15773535

Least Common Multiple (LCM) of 6873 and 6885 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6873 and 6885. First we will calculate the prime factors of 6873 and 6885.

Prime Factorization of 6873

Prime factors of 6873 are 3, 29, 79. Prime factorization of 6873 in exponential form is:

6873 = 31 × 291 × 791

Prime Factorization of 6885

Prime factors of 6885 are 3, 5, 17. Prime factorization of 6885 in exponential form is:

6885 = 34 × 51 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 6873 and 6885.

LCM(6873,6885) = 34 × 291 × 791 × 51 × 171
LCM(6873,6885) = 15773535