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What is the Least Common Multiple of 7165 and 7170?

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 7165 and 7170 is 10274610.

LCM(7165,7170) = 10274610

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Least Common Multiple of 7165 and 7170 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7165 and 7170, than apply into the LCM equation.

GCF(7165,7170) = 5
LCM(7165,7170) = ( 7165 × 7170) / 5
LCM(7165,7170) = 51373050 / 5
LCM(7165,7170) = 10274610

Least Common Multiple (LCM) of 7165 and 7170 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7165 and 7170. First we will calculate the prime factors of 7165 and 7170.

Prime Factorization of 7165

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

7165 = 51 × 14331

Prime Factorization of 7170

Prime factors of 7170 are 2, 3, 5, 239. Prime factorization of 7170 in exponential form is:

7170 = 21 × 31 × 51 × 2391

Now multiplying the highest exponent prime factors to calculate the LCM of 7165 and 7170.

LCM(7165,7170) = 51 × 14331 × 21 × 31 × 2391
LCM(7165,7170) = 10274610