Least Common Multiple of 5188 and 5192

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 5192 the smallest integer that is 6734024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5188 and 5192 is 6734024.

LCM(5188,5192) = 6734024

LCM of 5188 and 5192

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

LCM of:
and

Least Common Multiple of 5188 and 5192

LCM of 5188 and 5192 is 6734024

Least common multiple can be found by multiplying the highest exponent prime factors of 5188 and 5192. First we will calculate the prime factors of 5188 and 5192.

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 5192


2 5192
2 2596
2 1298
11 649
59 59
1

Prime factors of 5192 are 2, 11,59. Prime factorization of 5192 in exponential form is:

5192 = 23×111×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5188 and 5192.

LCM(5188,5192) = 23×111×591×12971
LCM(5188,5192) = 6734024

Factors of 5188

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

1, 2, 4, 1297, 2594, 5188

Factors of 5192

List of positive integer factors of 5192 that divides 5192 without a remainder.

1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192

Least Common Multiple of 5188 and 5192 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 5192, than apply into the LCM equation.

GCF(5188,5192) = 4
LCM(5188,5192) = ( 5188 × 5192) / 4
LCM(5188,5192) = 26936096 / 4
LCM(5188,5192) = 6734024

Properties of LCM 5188 and 5192

(i) The LCM of 5192 and 5188 is associative

LCM of 5188 and 5192 = LCM of 5192 and 5188

Related Least Common Multiples of 5188

Related Least Common Multiples of 5192

Frequently Asked Questions on LCM of 5188 and 5192

1. What is the LCM of 5188 and 5192?

Answer: LCM of 5188 and 5192 is 6734024.

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 5192?

Answer: Factors of 5192 are 1, 2, 4, 8, 11, 22, 44, 59, 88, 118, 236, 472, 649, 1298, 2596, 5192. There are 16 integers that are factors of 5192. The greatest factor of 5192 is 5192.

4. How to Find the LCM of 5188 and 5192?

Answer:

Least Common Multiple of 5188 and 5192 = 6734024

Step 1: Find the prime factorization of 5188

5188 = 2 x 2 x 1297

Step 2: Find the prime factorization of 5192

5192 = 2 x 2 x 2 x 11 x 59

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

LCM = 6734024 = 2 x 2 x 2 x 11 x 59 x 1297

Step 4: Therefore, the least common multiple of 5188 and 5192 is 6734024.