Least Common Multiple of 5163 and 5169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5163 and 5169 the smallest integer that is 8895849 that is divisible by both numbers.

Least Common Multiple (LCM) of 5163 and 5169 is 8895849.

LCM(5163,5169) = 8895849

LCM of 5163 and 5169

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

LCM of:
and

Least Common Multiple of 5163 and 5169

LCM of 5163 and 5169 is 8895849

Least common multiple can be found by multiplying the highest exponent prime factors of 5163 and 5169. First we will calculate the prime factors of 5163 and 5169.

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

Prime Factorization of 5169


3 5169
1723 1723
1

Prime factors of 5169 are 3,1723. Prime factorization of 5169 in exponential form is:

5169 = 31×17231

Now multiplying the highest exponent prime factors to calculate the LCM of 5163 and 5169.

LCM(5163,5169) = 31×17211×17231
LCM(5163,5169) = 8895849

Factors of 5163

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

1, 3, 1721, 5163

Factors of 5169

List of positive integer factors of 5169 that divides 5169 without a remainder.

1, 3, 1723, 5169

Least Common Multiple of 5163 and 5169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5163 and 5169, than apply into the LCM equation.

GCF(5163,5169) = 3
LCM(5163,5169) = ( 5163 × 5169) / 3
LCM(5163,5169) = 26687547 / 3
LCM(5163,5169) = 8895849

Properties of LCM 5163 and 5169

(i) The LCM of 5169 and 5163 is associative

LCM of 5163 and 5169 = LCM of 5169 and 5163

Related Least Common Multiples of 5163

Related Least Common Multiples of 5169

Frequently Asked Questions on LCM of 5163 and 5169

1. What is the LCM of 5163 and 5169?

Answer: LCM of 5163 and 5169 is 8895849.

2. 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.

3. What are the Factors of 5169?

Answer: Factors of 5169 are 1, 3, 1723, 5169. There are 4 integers that are factors of 5169. The greatest factor of 5169 is 5169.

4. How to Find the LCM of 5163 and 5169?

Answer:

Least Common Multiple of 5163 and 5169 = 8895849

Step 1: Find the prime factorization of 5163

5163 = 3 x 1721

Step 2: Find the prime factorization of 5169

5169 = 3 x 1723

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

LCM = 8895849 = 3 x 1721 x 1723

Step 4: Therefore, the least common multiple of 5163 and 5169 is 8895849.