Least Common Multiple of 7161 and 7167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7161 and 7167 the smallest integer that is 17107629 that is divisible by both numbers.

Least Common Multiple (LCM) of 7161 and 7167 is 17107629.

LCM(7161,7167) = 17107629

LCM of 7161 and 7167

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

LCM of:
and

Least Common Multiple of 7161 and 7167

LCM of 7161 and 7167 is 17107629

Least common multiple can be found by multiplying the highest exponent prime factors of 7161 and 7167. First we will calculate the prime factors of 7161 and 7167.

Prime Factorization of 7161


3 7161
7 2387
11 341
31 31
1

Prime factors of 7161 are 3, 7, 11,31. Prime factorization of 7161 in exponential form is:

7161 = 31×71×111×311

Prime Factorization of 7167


3 7167
2389 2389
1

Prime factors of 7167 are 3,2389. Prime factorization of 7167 in exponential form is:

7167 = 31×23891

Now multiplying the highest exponent prime factors to calculate the LCM of 7161 and 7167.

LCM(7161,7167) = 31×71×111×311×23891
LCM(7161,7167) = 17107629

Factors of 7161

List of positive integer factors of 7161 that divides 7161 without a remainder.

1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161

Factors of 7167

List of positive integer factors of 7167 that divides 7167 without a remainder.

1, 3, 2389, 7167

Least Common Multiple of 7161 and 7167 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7161 and 7167, than apply into the LCM equation.

GCF(7161,7167) = 3
LCM(7161,7167) = ( 7161 × 7167) / 3
LCM(7161,7167) = 51322887 / 3
LCM(7161,7167) = 17107629

Properties of LCM 7161 and 7167

(i) The LCM of 7167 and 7161 is associative

LCM of 7161 and 7167 = LCM of 7167 and 7161

Related Least Common Multiples of 7161

Related Least Common Multiples of 7167

Frequently Asked Questions on LCM of 7161 and 7167

1. What is the LCM of 7161 and 7167?

Answer: LCM of 7161 and 7167 is 17107629.

2. What are the Factors of 7161?

Answer: Factors of 7161 are 1, 3, 7, 11, 21, 31, 33, 77, 93, 217, 231, 341, 651, 1023, 2387, 7161. There are 16 integers that are factors of 7161. The greatest factor of 7161 is 7161.

3. What are the Factors of 7167?

Answer: Factors of 7167 are 1, 3, 2389, 7167. There are 4 integers that are factors of 7167. The greatest factor of 7167 is 7167.

4. How to Find the LCM of 7161 and 7167?

Answer:

Least Common Multiple of 7161 and 7167 = 17107629

Step 1: Find the prime factorization of 7161

7161 = 3 x 7 x 11 x 31

Step 2: Find the prime factorization of 7167

7167 = 3 x 2389

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

LCM = 17107629 = 3 x 7 x 11 x 31 x 2389

Step 4: Therefore, the least common multiple of 7161 and 7167 is 17107629.