Least Common Multiple of 7157 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 7157 and 7165 the smallest integer that is 51279905 that is divisible by both numbers.

Least Common Multiple (LCM) of 7157 and 7165 is 51279905.

LCM(7157,7165) = 51279905

LCM of 7157 and 7165

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

LCM of:
and

Least Common Multiple of 7157 and 7165

LCM of 7157 and 7165 is 51279905

Least common multiple can be found by multiplying the highest exponent prime factors of 7157 and 7165. First we will calculate the prime factors of 7157 and 7165.

Prime Factorization of 7157


17 7157
421 421
1

Prime factors of 7157 are 17,421. Prime factorization of 7157 in exponential form is:

7157 = 171×4211

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 7157 and 7165.

LCM(7157,7165) = 51×171×4211×14331
LCM(7157,7165) = 51279905

Factors of 7157

List of positive integer factors of 7157 that divides 7157 without a remainder.

1, 17, 421, 7157

Factors of 7165

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

1, 5, 1433, 7165

Least Common Multiple of 7157 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 7157 and 7165, than apply into the LCM equation.

GCF(7157,7165) = 1
LCM(7157,7165) = ( 7157 × 7165) / 1
LCM(7157,7165) = 51279905 / 1
LCM(7157,7165) = 51279905

Properties of LCM 7157 and 7165

(i) The LCM of 7165 and 7157 is associative

LCM of 7157 and 7165 = LCM of 7165 and 7157

Related Least Common Multiples of 7157

Related Least Common Multiples of 7165

Frequently Asked Questions on LCM of 7157 and 7165

1. What is the LCM of 7157 and 7165?

Answer: LCM of 7157 and 7165 is 51279905.

2. What are the Factors of 7157?

Answer: Factors of 7157 are 1, 17, 421, 7157. There are 4 integers that are factors of 7157. The greatest factor of 7157 is 7157.

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 7157 and 7165?

Answer:

Least Common Multiple of 7157 and 7165 = 51279905

Step 1: Find the prime factorization of 7157

7157 = 17 x 421

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 = 51279905 = 5 x 17 x 421 x 1433

Step 4: Therefore, the least common multiple of 7157 and 7165 is 51279905.