Least Common Multiple of 7168 and 7172

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 7172 the smallest integer that is 12852224 that is divisible by both numbers.

Least Common Multiple (LCM) of 7168 and 7172 is 12852224.

LCM(7168,7172) = 12852224

LCM of 7168 and 7172

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

LCM of:
and

Least Common Multiple of 7168 and 7172

LCM of 7168 and 7172 is 12852224

Least common multiple can be found by multiplying the highest exponent prime factors of 7168 and 7172. First we will calculate the prime factors of 7168 and 7172.

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 7172


2 7172
2 3586
11 1793
163 163
1

Prime factors of 7172 are 2, 11,163. Prime factorization of 7172 in exponential form is:

7172 = 22×111×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 7168 and 7172.

LCM(7168,7172) = 210×71×111×1631
LCM(7168,7172) = 12852224

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 7172

List of positive integer factors of 7172 that divides 7172 without a remainder.

1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172

Least Common Multiple of 7168 and 7172 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 7172, than apply into the LCM equation.

GCF(7168,7172) = 4
LCM(7168,7172) = ( 7168 × 7172) / 4
LCM(7168,7172) = 51408896 / 4
LCM(7168,7172) = 12852224

Properties of LCM 7168 and 7172

(i) The LCM of 7172 and 7168 is associative

LCM of 7168 and 7172 = LCM of 7172 and 7168

Related Least Common Multiples of 7168

Related Least Common Multiples of 7172

Frequently Asked Questions on LCM of 7168 and 7172

1. What is the LCM of 7168 and 7172?

Answer: LCM of 7168 and 7172 is 12852224.

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 7172?

Answer: Factors of 7172 are 1, 2, 4, 11, 22, 44, 163, 326, 652, 1793, 3586, 7172. There are 12 integers that are factors of 7172. The greatest factor of 7172 is 7172.

4. How to Find the LCM of 7168 and 7172?

Answer:

Least Common Multiple of 7168 and 7172 = 12852224

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 7172

7172 = 2 x 2 x 11 x 163

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

LCM = 12852224 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 163

Step 4: Therefore, the least common multiple of 7168 and 7172 is 12852224.