Least Common Multiple of 7161 and 7168

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 7168 the smallest integer that is 7332864 that is divisible by both numbers.

Least Common Multiple (LCM) of 7161 and 7168 is 7332864.

LCM(7161,7168) = 7332864

LCM of 7161 and 7168

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

LCM of:
and

Least Common Multiple of 7161 and 7168

LCM of 7161 and 7168 is 7332864

Least common multiple can be found by multiplying the highest exponent prime factors of 7161 and 7168. First we will calculate the prime factors of 7161 and 7168.

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 7168


2 7168
2 3584
2 1792
2 896
2 448
2 224
2 112
2 56
2 28
2 14
7 7
1

Prime factors of 7168 are 2,7. Prime factorization of 7168 in exponential form is:

7168 = 210×71

Now multiplying the highest exponent prime factors to calculate the LCM of 7161 and 7168.

LCM(7161,7168) = 210×31×71×111×311
LCM(7161,7168) = 7332864

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 7168

List of positive integer factors of 7168 that divides 7168 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168

Least Common Multiple of 7161 and 7168 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 7168, than apply into the LCM equation.

GCF(7161,7168) = 7
LCM(7161,7168) = ( 7161 × 7168) / 7
LCM(7161,7168) = 51330048 / 7
LCM(7161,7168) = 7332864

Properties of LCM 7161 and 7168

(i) The LCM of 7168 and 7161 is associative

LCM of 7161 and 7168 = LCM of 7168 and 7161

Related Least Common Multiples of 7161

Related Least Common Multiples of 7168

Frequently Asked Questions on LCM of 7161 and 7168

1. What is the LCM of 7161 and 7168?

Answer: LCM of 7161 and 7168 is 7332864.

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 7168?

Answer: Factors of 7168 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 3584, 7168. There are 22 integers that are factors of 7168. The greatest factor of 7168 is 7168.

4. How to Find the LCM of 7161 and 7168?

Answer:

Least Common Multiple of 7161 and 7168 = 7332864

Step 1: Find the prime factorization of 7161

7161 = 3 x 7 x 11 x 31

Step 2: Find the prime factorization of 7168

7168 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

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

LCM = 7332864 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 31

Step 4: Therefore, the least common multiple of 7161 and 7168 is 7332864.