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What is the Least Common Multiple of 7115 and 7130?

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 7115 and 7130 is 10145990.

LCM(7115,7130) = 10145990

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Least Common Multiple of 7115 and 7130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7115 and 7130, than apply into the LCM equation.

GCF(7115,7130) = 5
LCM(7115,7130) = ( 7115 × 7130) / 5
LCM(7115,7130) = 50729950 / 5
LCM(7115,7130) = 10145990

Least Common Multiple (LCM) of 7115 and 7130 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7115 and 7130. First we will calculate the prime factors of 7115 and 7130.

Prime Factorization of 7115

Prime factors of 7115 are 5, 1423. Prime factorization of 7115 in exponential form is:

7115 = 51 × 14231

Prime Factorization of 7130

Prime factors of 7130 are 2, 5, 23, 31. Prime factorization of 7130 in exponential form is:

7130 = 21 × 51 × 231 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 7115 and 7130.

LCM(7115,7130) = 51 × 14231 × 21 × 231 × 311
LCM(7115,7130) = 10145990