Least Common Multiple of 7158 and 7163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7158 and 7163 the smallest integer that is 51272754 that is divisible by both numbers.

Least Common Multiple (LCM) of 7158 and 7163 is 51272754.

LCM(7158,7163) = 51272754

LCM of 7158 and 7163

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

LCM of:
and

Least Common Multiple of 7158 and 7163

LCM of 7158 and 7163 is 51272754

Least common multiple can be found by multiplying the highest exponent prime factors of 7158 and 7163. First we will calculate the prime factors of 7158 and 7163.

Prime Factorization of 7158


2 7158
3 3579
1193 1193
1

Prime factors of 7158 are 2, 3,1193. Prime factorization of 7158 in exponential form is:

7158 = 21×31×11931

Prime Factorization of 7163


13 7163
19 551
29 29
1

Prime factors of 7163 are 13, 19,29. Prime factorization of 7163 in exponential form is:

7163 = 131×191×291

Now multiplying the highest exponent prime factors to calculate the LCM of 7158 and 7163.

LCM(7158,7163) = 21×31×131×191×291×11931
LCM(7158,7163) = 51272754

Factors of 7158

List of positive integer factors of 7158 that divides 7158 without a remainder.

1, 2, 3, 6, 1193, 2386, 3579, 7158

Factors of 7163

List of positive integer factors of 7163 that divides 7163 without a remainder.

1, 13, 19, 29, 247, 377, 551, 7163

Least Common Multiple of 7158 and 7163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7158 and 7163, than apply into the LCM equation.

GCF(7158,7163) = 1
LCM(7158,7163) = ( 7158 × 7163) / 1
LCM(7158,7163) = 51272754 / 1
LCM(7158,7163) = 51272754

Properties of LCM 7158 and 7163

(i) The LCM of 7163 and 7158 is associative

LCM of 7158 and 7163 = LCM of 7163 and 7158

Related Least Common Multiples of 7158

Related Least Common Multiples of 7163

Frequently Asked Questions on LCM of 7158 and 7163

1. What is the LCM of 7158 and 7163?

Answer: LCM of 7158 and 7163 is 51272754.

2. What are the Factors of 7158?

Answer: Factors of 7158 are 1, 2, 3, 6, 1193, 2386, 3579, 7158. There are 8 integers that are factors of 7158. The greatest factor of 7158 is 7158.

3. What are the Factors of 7163?

Answer: Factors of 7163 are 1, 13, 19, 29, 247, 377, 551, 7163. There are 8 integers that are factors of 7163. The greatest factor of 7163 is 7163.

4. How to Find the LCM of 7158 and 7163?

Answer:

Least Common Multiple of 7158 and 7163 = 51272754

Step 1: Find the prime factorization of 7158

7158 = 2 x 3 x 1193

Step 2: Find the prime factorization of 7163

7163 = 13 x 19 x 29

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

LCM = 51272754 = 2 x 3 x 13 x 19 x 29 x 1193

Step 4: Therefore, the least common multiple of 7158 and 7163 is 51272754.