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What is the Least Common Multiple of 6879 and 6895?

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 6879 and 6895 is 47430705.

LCM(6879,6895) = 47430705

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Least Common Multiple of 6879 and 6895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6879 and 6895, than apply into the LCM equation.

GCF(6879,6895) = 1
LCM(6879,6895) = ( 6879 × 6895) / 1
LCM(6879,6895) = 47430705 / 1
LCM(6879,6895) = 47430705

Least Common Multiple (LCM) of 6879 and 6895 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6879 and 6895. First we will calculate the prime factors of 6879 and 6895.

Prime Factorization of 6879

Prime factors of 6879 are 3, 2293. Prime factorization of 6879 in exponential form is:

6879 = 31 × 22931

Prime Factorization of 6895

Prime factors of 6895 are 5, 7, 197. Prime factorization of 6895 in exponential form is:

6895 = 51 × 71 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 6879 and 6895.

LCM(6879,6895) = 31 × 22931 × 51 × 71 × 1971
LCM(6879,6895) = 47430705