Least Common Multiple of 7165 and 7170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7165 and 7170 the smallest integer that is 10274610 that is divisible by both numbers.

Least Common Multiple (LCM) of 7165 and 7170 is 10274610.

LCM(7165,7170) = 10274610

LCM of 7165 and 7170

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 7165 and 7170

LCM of 7165 and 7170 is 10274610

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


5 7165
1433 1433
1

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

7165 = 51×14331

Prime Factorization of 7170


2 7170
3 3585
5 1195
239 239
1

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

Factors of 7165

List of positive integer factors of 7165 that divides 7165 without a remainder.

1, 5, 1433, 7165

Factors of 7170

List of positive integer factors of 7170 that divides 7170 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170

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

Properties of LCM 7165 and 7170

(i) The LCM of 7170 and 7165 is associative

LCM of 7165 and 7170 = LCM of 7170 and 7165

Related Least Common Multiples of 7165

Related Least Common Multiples of 7170

Frequently Asked Questions on LCM of 7165 and 7170

1. What is the LCM of 7165 and 7170?

Answer: LCM of 7165 and 7170 is 10274610.

2. What are the Factors of 7165?

Answer: Factors of 7165 are 1, 5, 1433, 7165. There are 4 integers that are factors of 7165. The greatest factor of 7165 is 7165.

3. What are the Factors of 7170?

Answer: Factors of 7170 are 1, 2, 3, 5, 6, 10, 15, 30, 239, 478, 717, 1195, 1434, 2390, 3585, 7170. There are 16 integers that are factors of 7170. The greatest factor of 7170 is 7170.

4. How to Find the LCM of 7165 and 7170?

Answer:

Least Common Multiple of 7165 and 7170 = 10274610

Step 1: Find the prime factorization of 7165

7165 = 5 x 1433

Step 2: Find the prime factorization of 7170

7170 = 2 x 3 x 5 x 239

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 10274610 = 2 x 3 x 5 x 239 x 1433

Step 4: Therefore, the least common multiple of 7165 and 7170 is 10274610.