Least Common Multiple of 7167 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 7167 and 7168 the smallest integer that is 51373056 that is divisible by both numbers.

Least Common Multiple (LCM) of 7167 and 7168 is 51373056.

LCM(7167,7168) = 51373056

LCM of 7167 and 7168

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

LCM of:
and

Least Common Multiple of 7167 and 7168

LCM of 7167 and 7168 is 51373056

Least common multiple can be found by multiplying the highest exponent prime factors of 7167 and 7168. First we will calculate the prime factors of 7167 and 7168.

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

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 7167 and 7168.

LCM(7167,7168) = 210×31×71×23891
LCM(7167,7168) = 51373056

Factors of 7167

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

1, 3, 2389, 7167

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 7167 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 7167 and 7168, than apply into the LCM equation.

GCF(7167,7168) = 1
LCM(7167,7168) = ( 7167 × 7168) / 1
LCM(7167,7168) = 51373056 / 1
LCM(7167,7168) = 51373056

Properties of LCM 7167 and 7168

(i) The LCM of 7168 and 7167 is associative

LCM of 7167 and 7168 = LCM of 7168 and 7167

Related Least Common Multiples of 7167

Related Least Common Multiples of 7168

Frequently Asked Questions on LCM of 7167 and 7168

1. What is the LCM of 7167 and 7168?

Answer: LCM of 7167 and 7168 is 51373056.

2. 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.

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 7167 and 7168?

Answer:

Least Common Multiple of 7167 and 7168 = 51373056

Step 1: Find the prime factorization of 7167

7167 = 3 x 2389

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 = 51373056 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 2389

Step 4: Therefore, the least common multiple of 7167 and 7168 is 51373056.