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What is the Least Common Multiple of 6897 and 6910?

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 6910 is 47658270.

LCM(6897,6910) = 47658270

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Least Common Multiple of 6897 and 6910 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 6910, than apply into the LCM equation.

GCF(6897,6910) = 1
LCM(6897,6910) = ( 6897 × 6910) / 1
LCM(6897,6910) = 47658270 / 1
LCM(6897,6910) = 47658270

Least Common Multiple (LCM) of 6897 and 6910 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6897 and 6910. First we will calculate the prime factors of 6897 and 6910.

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 6910

Prime factors of 6910 are 2, 5, 691. Prime factorization of 6910 in exponential form is:

6910 = 21 × 51 × 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 6897 and 6910.

LCM(6897,6910) = 31 × 112 × 191 × 21 × 51 × 6911
LCM(6897,6910) = 47658270