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What is the Least Common Multiple of 6897 and 6915?

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 6897 and 6915 is 15897585.

LCM(6897,6915) = 15897585

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Least Common Multiple of 6897 and 6915 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6897 and 6915, than apply into the LCM equation.

GCF(6897,6915) = 3
LCM(6897,6915) = ( 6897 × 6915) / 3
LCM(6897,6915) = 47692755 / 3
LCM(6897,6915) = 15897585

Least Common Multiple (LCM) of 6897 and 6915 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6897 and 6915. First we will calculate the prime factors of 6897 and 6915.

Prime Factorization of 6897

Prime factors of 6897 are 3, 11, 19. Prime factorization of 6897 in exponential form is:

6897 = 31 × 112 × 191

Prime Factorization of 6915

Prime factors of 6915 are 3, 5, 461. Prime factorization of 6915 in exponential form is:

6915 = 31 × 51 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 6897 and 6915.

LCM(6897,6915) = 31 × 112 × 191 × 51 × 4611
LCM(6897,6915) = 15897585