Least Common Multiple of 7157 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 7157 and 7163 the smallest integer that is 51265591 that is divisible by both numbers.

Least Common Multiple (LCM) of 7157 and 7163 is 51265591.

LCM(7157,7163) = 51265591

LCM of 7157 and 7163

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

LCM of:
and

Least Common Multiple of 7157 and 7163

LCM of 7157 and 7163 is 51265591

Least common multiple can be found by multiplying the highest exponent prime factors of 7157 and 7163. First we will calculate the prime factors of 7157 and 7163.

Prime Factorization of 7157


17 7157
421 421
1

Prime factors of 7157 are 17,421. Prime factorization of 7157 in exponential form is:

7157 = 171×4211

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 7157 and 7163.

LCM(7157,7163) = 131×171×191×291×4211
LCM(7157,7163) = 51265591

Factors of 7157

List of positive integer factors of 7157 that divides 7157 without a remainder.

1, 17, 421, 7157

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 7157 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 7157 and 7163, than apply into the LCM equation.

GCF(7157,7163) = 1
LCM(7157,7163) = ( 7157 × 7163) / 1
LCM(7157,7163) = 51265591 / 1
LCM(7157,7163) = 51265591

Properties of LCM 7157 and 7163

(i) The LCM of 7163 and 7157 is associative

LCM of 7157 and 7163 = LCM of 7163 and 7157

Frequently Asked Questions on LCM of 7157 and 7163

1. What is the LCM of 7157 and 7163?

Answer: LCM of 7157 and 7163 is 51265591.

2. What are the Factors of 7157?

Answer: Factors of 7157 are 1, 17, 421, 7157. There are 4 integers that are factors of 7157. The greatest factor of 7157 is 7157.

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 7157 and 7163?

Answer:

Least Common Multiple of 7157 and 7163 = 51265591

Step 1: Find the prime factorization of 7157

7157 = 17 x 421

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 = 51265591 = 13 x 17 x 19 x 29 x 421

Step 4: Therefore, the least common multiple of 7157 and 7163 is 51265591.