Least Common Multiple of 7160 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 7160 and 7168 the smallest integer that is 6415360 that is divisible by both numbers.

Least Common Multiple (LCM) of 7160 and 7168 is 6415360.

LCM(7160,7168) = 6415360

LCM of 7160 and 7168

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

LCM of:
and

Least Common Multiple of 7160 and 7168

LCM of 7160 and 7168 is 6415360

Least common multiple can be found by multiplying the highest exponent prime factors of 7160 and 7168. First we will calculate the prime factors of 7160 and 7168.

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 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 7160 and 7168.

LCM(7160,7168) = 210×51×71×1791
LCM(7160,7168) = 6415360

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 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 7160 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 7160 and 7168, than apply into the LCM equation.

GCF(7160,7168) = 8
LCM(7160,7168) = ( 7160 × 7168) / 8
LCM(7160,7168) = 51322880 / 8
LCM(7160,7168) = 6415360

Properties of LCM 7160 and 7168

(i) The LCM of 7168 and 7160 is associative

LCM of 7160 and 7168 = LCM of 7168 and 7160

Related Least Common Multiples of 7160

Related Least Common Multiples of 7168

Frequently Asked Questions on LCM of 7160 and 7168

1. What is the LCM of 7160 and 7168?

Answer: LCM of 7160 and 7168 is 6415360.

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 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 7160 and 7168?

Answer:

Least Common Multiple of 7160 and 7168 = 6415360

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 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 = 6415360 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 179

Step 4: Therefore, the least common multiple of 7160 and 7168 is 6415360.