Least Common Multiple of 5157 and 5163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5157 and 5163 the smallest integer that is 8875197 that is divisible by both numbers.

Least Common Multiple (LCM) of 5157 and 5163 is 8875197.

LCM(5157,5163) = 8875197

LCM of 5157 and 5163

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

LCM of:
and

Least Common Multiple of 5157 and 5163

LCM of 5157 and 5163 is 8875197

Least common multiple can be found by multiplying the highest exponent prime factors of 5157 and 5163. First we will calculate the prime factors of 5157 and 5163.

Prime Factorization of 5157


3 5157
3 1719
3 573
191 191
1

Prime factors of 5157 are 3,191. Prime factorization of 5157 in exponential form is:

5157 = 33×1911

Prime Factorization of 5163


3 5163
1721 1721
1

Prime factors of 5163 are 3,1721. Prime factorization of 5163 in exponential form is:

5163 = 31×17211

Now multiplying the highest exponent prime factors to calculate the LCM of 5157 and 5163.

LCM(5157,5163) = 33×1911×17211
LCM(5157,5163) = 8875197

Factors of 5157

List of positive integer factors of 5157 that divides 5157 without a remainder.

1, 3, 9, 27, 191, 573, 1719, 5157

Factors of 5163

List of positive integer factors of 5163 that divides 5163 without a remainder.

1, 3, 1721, 5163

Least Common Multiple of 5157 and 5163 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5157 and 5163, than apply into the LCM equation.

GCF(5157,5163) = 3
LCM(5157,5163) = ( 5157 × 5163) / 3
LCM(5157,5163) = 26625591 / 3
LCM(5157,5163) = 8875197

Properties of LCM 5157 and 5163

(i) The LCM of 5163 and 5157 is associative

LCM of 5157 and 5163 = LCM of 5163 and 5157

Related Least Common Multiples of 5157

Related Least Common Multiples of 5163

Frequently Asked Questions on LCM of 5157 and 5163

1. What is the LCM of 5157 and 5163?

Answer: LCM of 5157 and 5163 is 8875197.

2. What are the Factors of 5157?

Answer: Factors of 5157 are 1, 3, 9, 27, 191, 573, 1719, 5157. There are 8 integers that are factors of 5157. The greatest factor of 5157 is 5157.

3. What are the Factors of 5163?

Answer: Factors of 5163 are 1, 3, 1721, 5163. There are 4 integers that are factors of 5163. The greatest factor of 5163 is 5163.

4. How to Find the LCM of 5157 and 5163?

Answer:

Least Common Multiple of 5157 and 5163 = 8875197

Step 1: Find the prime factorization of 5157

5157 = 3 x 3 x 3 x 191

Step 2: Find the prime factorization of 5163

5163 = 3 x 1721

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

LCM = 8875197 = 3 x 3 x 3 x 191 x 1721

Step 4: Therefore, the least common multiple of 5157 and 5163 is 8875197.