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What is the Least Common Multiple of 6874 and 6880?

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 6874 and 6880 is 23646560.

LCM(6874,6880) = 23646560

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Least Common Multiple of 6874 and 6880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6874 and 6880, than apply into the LCM equation.

GCF(6874,6880) = 2
LCM(6874,6880) = ( 6874 × 6880) / 2
LCM(6874,6880) = 47293120 / 2
LCM(6874,6880) = 23646560

Least Common Multiple (LCM) of 6874 and 6880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6874 and 6880. First we will calculate the prime factors of 6874 and 6880.

Prime Factorization of 6874

Prime factors of 6874 are 2, 7, 491. Prime factorization of 6874 in exponential form is:

6874 = 21 × 71 × 4911

Prime Factorization of 6880

Prime factors of 6880 are 2, 5, 43. Prime factorization of 6880 in exponential form is:

6880 = 25 × 51 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 6874 and 6880.

LCM(6874,6880) = 25 × 71 × 4911 × 51 × 431
LCM(6874,6880) = 23646560