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What is the Least Common Multiple of 7147 and 7165?

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 7147 and 7165 is 51208255.

LCM(7147,7165) = 51208255

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Least Common Multiple of 7147 and 7165 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7147 and 7165, than apply into the LCM equation.

GCF(7147,7165) = 1
LCM(7147,7165) = ( 7147 × 7165) / 1
LCM(7147,7165) = 51208255 / 1
LCM(7147,7165) = 51208255

Least Common Multiple (LCM) of 7147 and 7165 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7147 and 7165. First we will calculate the prime factors of 7147 and 7165.

Prime Factorization of 7147

Prime factors of 7147 are 7, 1021. Prime factorization of 7147 in exponential form is:

7147 = 71 × 10211

Prime Factorization of 7165

Prime factors of 7165 are 5, 1433. Prime factorization of 7165 in exponential form is:

7165 = 51 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 7147 and 7165.

LCM(7147,7165) = 71 × 10211 × 51 × 14331
LCM(7147,7165) = 51208255