Least Common Multiple of 5156 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 5156 and 5163 the smallest integer that is 26620428 that is divisible by both numbers.

Least Common Multiple (LCM) of 5156 and 5163 is 26620428.

LCM(5156,5163) = 26620428

LCM of 5156 and 5163

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

LCM of:
and

Least Common Multiple of 5156 and 5163

LCM of 5156 and 5163 is 26620428

Least common multiple can be found by multiplying the highest exponent prime factors of 5156 and 5163. First we will calculate the prime factors of 5156 and 5163.

Prime Factorization of 5156


2 5156
2 2578
1289 1289
1

Prime factors of 5156 are 2,1289. Prime factorization of 5156 in exponential form is:

5156 = 22×12891

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 5156 and 5163.

LCM(5156,5163) = 22×31×12891×17211
LCM(5156,5163) = 26620428

Factors of 5156

List of positive integer factors of 5156 that divides 5156 without a remainder.

1, 2, 4, 1289, 2578, 5156

Factors of 5163

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

1, 3, 1721, 5163

Least Common Multiple of 5156 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 5156 and 5163, than apply into the LCM equation.

GCF(5156,5163) = 1
LCM(5156,5163) = ( 5156 × 5163) / 1
LCM(5156,5163) = 26620428 / 1
LCM(5156,5163) = 26620428

Properties of LCM 5156 and 5163

(i) The LCM of 5163 and 5156 is associative

LCM of 5156 and 5163 = LCM of 5163 and 5156

Related Least Common Multiples of 5156

Related Least Common Multiples of 5163

Frequently Asked Questions on LCM of 5156 and 5163

1. What is the LCM of 5156 and 5163?

Answer: LCM of 5156 and 5163 is 26620428.

2. What are the Factors of 5156?

Answer: Factors of 5156 are 1, 2, 4, 1289, 2578, 5156. There are 6 integers that are factors of 5156. The greatest factor of 5156 is 5156.

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 5156 and 5163?

Answer:

Least Common Multiple of 5156 and 5163 = 26620428

Step 1: Find the prime factorization of 5156

5156 = 2 x 2 x 1289

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 = 26620428 = 2 x 2 x 3 x 1289 x 1721

Step 4: Therefore, the least common multiple of 5156 and 5163 is 26620428.