Least Common Multiple of 7160 and 7167

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 7167 the smallest integer that is 51315720 that is divisible by both numbers.

Least Common Multiple (LCM) of 7160 and 7167 is 51315720.

LCM(7160,7167) = 51315720

LCM of 7160 and 7167

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

LCM of:
and

Least Common Multiple of 7160 and 7167

LCM of 7160 and 7167 is 51315720

Least common multiple can be found by multiplying the highest exponent prime factors of 7160 and 7167. First we will calculate the prime factors of 7160 and 7167.

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 7167


3 7167
2389 2389
1

Prime factors of 7167 are 3,2389. Prime factorization of 7167 in exponential form is:

7167 = 31×23891

Now multiplying the highest exponent prime factors to calculate the LCM of 7160 and 7167.

LCM(7160,7167) = 23×31×51×1791×23891
LCM(7160,7167) = 51315720

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 7167

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

1, 3, 2389, 7167

Least Common Multiple of 7160 and 7167 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 7167, than apply into the LCM equation.

GCF(7160,7167) = 1
LCM(7160,7167) = ( 7160 × 7167) / 1
LCM(7160,7167) = 51315720 / 1
LCM(7160,7167) = 51315720

Properties of LCM 7160 and 7167

(i) The LCM of 7167 and 7160 is associative

LCM of 7160 and 7167 = LCM of 7167 and 7160

Related Least Common Multiples of 7160

Related Least Common Multiples of 7167

Frequently Asked Questions on LCM of 7160 and 7167

1. What is the LCM of 7160 and 7167?

Answer: LCM of 7160 and 7167 is 51315720.

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 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.

4. How to Find the LCM of 7160 and 7167?

Answer:

Least Common Multiple of 7160 and 7167 = 51315720

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 7167

7167 = 3 x 2389

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

LCM = 51315720 = 2 x 2 x 2 x 3 x 5 x 179 x 2389

Step 4: Therefore, the least common multiple of 7160 and 7167 is 51315720.