Least Common Multiple of 7156 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 7156 and 7163 the smallest integer that is 51258428 that is divisible by both numbers.

Least Common Multiple (LCM) of 7156 and 7163 is 51258428.

LCM(7156,7163) = 51258428

LCM of 7156 and 7163

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

LCM of:
and

Least Common Multiple of 7156 and 7163

LCM of 7156 and 7163 is 51258428

Least common multiple can be found by multiplying the highest exponent prime factors of 7156 and 7163. First we will calculate the prime factors of 7156 and 7163.

Prime Factorization of 7156


2 7156
2 3578
1789 1789
1

Prime factors of 7156 are 2,1789. Prime factorization of 7156 in exponential form is:

7156 = 22×17891

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 7156 and 7163.

LCM(7156,7163) = 22×131×191×291×17891
LCM(7156,7163) = 51258428

Factors of 7156

List of positive integer factors of 7156 that divides 7156 without a remainder.

1, 2, 4, 1789, 3578, 7156

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 7156 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 7156 and 7163, than apply into the LCM equation.

GCF(7156,7163) = 1
LCM(7156,7163) = ( 7156 × 7163) / 1
LCM(7156,7163) = 51258428 / 1
LCM(7156,7163) = 51258428

Properties of LCM 7156 and 7163

(i) The LCM of 7163 and 7156 is associative

LCM of 7156 and 7163 = LCM of 7163 and 7156

Related Least Common Multiples of 7156

Related Least Common Multiples of 7163

Frequently Asked Questions on LCM of 7156 and 7163

1. What is the LCM of 7156 and 7163?

Answer: LCM of 7156 and 7163 is 51258428.

2. What are the Factors of 7156?

Answer: Factors of 7156 are 1, 2, 4, 1789, 3578, 7156. There are 6 integers that are factors of 7156. The greatest factor of 7156 is 7156.

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 7156 and 7163?

Answer:

Least Common Multiple of 7156 and 7163 = 51258428

Step 1: Find the prime factorization of 7156

7156 = 2 x 2 x 1789

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 = 51258428 = 2 x 2 x 13 x 19 x 29 x 1789

Step 4: Therefore, the least common multiple of 7156 and 7163 is 51258428.