Least Common Multiple of 7160 and 7165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7160 and 7165 the smallest integer that is 10260280 that is divisible by both numbers.

Least Common Multiple (LCM) of 7160 and 7165 is 10260280.

LCM(7160,7165) = 10260280

LCM of 7160 and 7165

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

LCM of:
and

Least Common Multiple of 7160 and 7165

LCM of 7160 and 7165 is 10260280

Least common multiple can be found by multiplying the highest exponent prime factors of 7160 and 7165. First we will calculate the prime factors of 7160 and 7165.

Prime Factorization of 7160


2 7160
2 3580
2 1790
5 895
179 179
1

Prime factors of 7160 are 2, 5,179. Prime factorization of 7160 in exponential form is:

7160 = 23×51×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7160 and 7165.

LCM(7160,7165) = 23×51×1791×14331
LCM(7160,7165) = 10260280

Factors of 7160

List of positive integer factors of 7160 that divides 7160 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160

Factors of 7165

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

1, 5, 1433, 7165

Least Common Multiple of 7160 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 7160 and 7165, than apply into the LCM equation.

GCF(7160,7165) = 5
LCM(7160,7165) = ( 7160 × 7165) / 5
LCM(7160,7165) = 51301400 / 5
LCM(7160,7165) = 10260280

Properties of LCM 7160 and 7165

(i) The LCM of 7165 and 7160 is associative

LCM of 7160 and 7165 = LCM of 7165 and 7160

Related Least Common Multiples of 7160

Related Least Common Multiples of 7165

Frequently Asked Questions on LCM of 7160 and 7165

1. What is the LCM of 7160 and 7165?

Answer: LCM of 7160 and 7165 is 10260280.

2. What are the Factors of 7160?

Answer: Factors of 7160 are 1, 2, 4, 5, 8, 10, 20, 40, 179, 358, 716, 895, 1432, 1790, 3580, 7160. There are 16 integers that are factors of 7160. The greatest factor of 7160 is 7160.

3. 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.

4. How to Find the LCM of 7160 and 7165?

Answer:

Least Common Multiple of 7160 and 7165 = 10260280

Step 1: Find the prime factorization of 7160

7160 = 2 x 2 x 2 x 5 x 179

Step 2: Find the prime factorization of 7165

7165 = 5 x 1433

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

LCM = 10260280 = 2 x 2 x 2 x 5 x 179 x 1433

Step 4: Therefore, the least common multiple of 7160 and 7165 is 10260280.