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What is the Least Common Multiple of 6878 and 6894?

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 6878 and 6894 is 23708466.

LCM(6878,6894) = 23708466

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Least Common Multiple of 6878 and 6894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6878 and 6894, than apply into the LCM equation.

GCF(6878,6894) = 2
LCM(6878,6894) = ( 6878 × 6894) / 2
LCM(6878,6894) = 47416932 / 2
LCM(6878,6894) = 23708466

Least Common Multiple (LCM) of 6878 and 6894 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6878 and 6894. First we will calculate the prime factors of 6878 and 6894.

Prime Factorization of 6878

Prime factors of 6878 are 2, 19, 181. Prime factorization of 6878 in exponential form is:

6878 = 21 × 191 × 1811

Prime Factorization of 6894

Prime factors of 6894 are 2, 3, 383. Prime factorization of 6894 in exponential form is:

6894 = 21 × 32 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 6878 and 6894.

LCM(6878,6894) = 21 × 191 × 1811 × 32 × 3831
LCM(6878,6894) = 23708466