Least Common Multiple of 5188 and 5193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5188 and 5193 the smallest integer that is 26941284 that is divisible by both numbers.

Least Common Multiple (LCM) of 5188 and 5193 is 26941284.

LCM(5188,5193) = 26941284

LCM of 5188 and 5193

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

LCM of:
and

Least Common Multiple of 5188 and 5193

LCM of 5188 and 5193 is 26941284

Least common multiple can be found by multiplying the highest exponent prime factors of 5188 and 5193. First we will calculate the prime factors of 5188 and 5193.

Prime Factorization of 5188


2 5188
2 2594
1297 1297
1

Prime factors of 5188 are 2,1297. Prime factorization of 5188 in exponential form is:

5188 = 22×12971

Prime Factorization of 5193


3 5193
3 1731
577 577
1

Prime factors of 5193 are 3,577. Prime factorization of 5193 in exponential form is:

5193 = 32×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 5188 and 5193.

LCM(5188,5193) = 22×32×5771×12971
LCM(5188,5193) = 26941284

Factors of 5188

List of positive integer factors of 5188 that divides 5188 without a remainder.

1, 2, 4, 1297, 2594, 5188

Factors of 5193

List of positive integer factors of 5193 that divides 5193 without a remainder.

1, 3, 9, 577, 1731, 5193

Least Common Multiple of 5188 and 5193 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5188 and 5193, than apply into the LCM equation.

GCF(5188,5193) = 1
LCM(5188,5193) = ( 5188 × 5193) / 1
LCM(5188,5193) = 26941284 / 1
LCM(5188,5193) = 26941284

Properties of LCM 5188 and 5193

(i) The LCM of 5193 and 5188 is associative

LCM of 5188 and 5193 = LCM of 5193 and 5188

Related Least Common Multiples of 5188

Related Least Common Multiples of 5193

Frequently Asked Questions on LCM of 5188 and 5193

1. What is the LCM of 5188 and 5193?

Answer: LCM of 5188 and 5193 is 26941284.

2. What are the Factors of 5188?

Answer: Factors of 5188 are 1, 2, 4, 1297, 2594, 5188. There are 6 integers that are factors of 5188. The greatest factor of 5188 is 5188.

3. What are the Factors of 5193?

Answer: Factors of 5193 are 1, 3, 9, 577, 1731, 5193. There are 6 integers that are factors of 5193. The greatest factor of 5193 is 5193.

4. How to Find the LCM of 5188 and 5193?

Answer:

Least Common Multiple of 5188 and 5193 = 26941284

Step 1: Find the prime factorization of 5188

5188 = 2 x 2 x 1297

Step 2: Find the prime factorization of 5193

5193 = 3 x 3 x 577

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

LCM = 26941284 = 2 x 2 x 3 x 3 x 577 x 1297

Step 4: Therefore, the least common multiple of 5188 and 5193 is 26941284.