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What is the Least Common Multiple of 7897 and 7911?

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 7897 and 7911 is 62473167.

LCM(7897,7911) = 62473167

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Least Common Multiple of 7897 and 7911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7897 and 7911, than apply into the LCM equation.

GCF(7897,7911) = 1
LCM(7897,7911) = ( 7897 × 7911) / 1
LCM(7897,7911) = 62473167 / 1
LCM(7897,7911) = 62473167

Least Common Multiple (LCM) of 7897 and 7911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7897 and 7911. First we will calculate the prime factors of 7897 and 7911.

Prime Factorization of 7897

Prime factors of 7897 are 53, 149. Prime factorization of 7897 in exponential form is:

7897 = 531 × 1491

Prime Factorization of 7911

Prime factors of 7911 are 3, 293. Prime factorization of 7911 in exponential form is:

7911 = 33 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 7897 and 7911.

LCM(7897,7911) = 531 × 1491 × 33 × 2931
LCM(7897,7911) = 62473167