Least Common Multiple of 7168 and 7176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7168 and 7176 the smallest integer that is 6429696 that is divisible by both numbers.

Least Common Multiple (LCM) of 7168 and 7176 is 6429696.

LCM(7168,7176) = 6429696

LCM of 7168 and 7176

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

LCM of:
and

Least Common Multiple of 7168 and 7176

LCM of 7168 and 7176 is 6429696

Least common multiple can be found by multiplying the highest exponent prime factors of 7168 and 7176. First we will calculate the prime factors of 7168 and 7176.

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

Prime Factorization of 7176


2 7176
2 3588
2 1794
3 897
13 299
23 23
1

Prime factors of 7176 are 2, 3, 13,23. Prime factorization of 7176 in exponential form is:

7176 = 23×31×131×231

Now multiplying the highest exponent prime factors to calculate the LCM of 7168 and 7176.

LCM(7168,7176) = 210×31×71×131×231
LCM(7168,7176) = 6429696

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

Factors of 7176

List of positive integer factors of 7176 that divides 7176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176

Least Common Multiple of 7168 and 7176 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7168 and 7176, than apply into the LCM equation.

GCF(7168,7176) = 8
LCM(7168,7176) = ( 7168 × 7176) / 8
LCM(7168,7176) = 51437568 / 8
LCM(7168,7176) = 6429696

Properties of LCM 7168 and 7176

(i) The LCM of 7176 and 7168 is associative

LCM of 7168 and 7176 = LCM of 7176 and 7168

Related Least Common Multiples of 7168

Related Least Common Multiples of 7176

Frequently Asked Questions on LCM of 7168 and 7176

1. What is the LCM of 7168 and 7176?

Answer: LCM of 7168 and 7176 is 6429696.

2. 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.

3. What are the Factors of 7176?

Answer: Factors of 7176 are 1, 2, 3, 4, 6, 8, 12, 13, 23, 24, 26, 39, 46, 52, 69, 78, 92, 104, 138, 156, 184, 276, 299, 312, 552, 598, 897, 1196, 1794, 2392, 3588, 7176. There are 32 integers that are factors of 7176. The greatest factor of 7176 is 7176.

4. How to Find the LCM of 7168 and 7176?

Answer:

Least Common Multiple of 7168 and 7176 = 6429696

Step 1: 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 2: Find the prime factorization of 7176

7176 = 2 x 2 x 2 x 3 x 13 x 23

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

LCM = 6429696 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 7168 and 7176 is 6429696.