Least Common Multiple of 5388 and 5392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5388 and 5392 the smallest integer that is 7263024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5388 and 5392 is 7263024.

LCM(5388,5392) = 7263024

LCM of 5388 and 5392

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

LCM of:
and

Least Common Multiple of 5388 and 5392

LCM of 5388 and 5392 is 7263024

Least common multiple can be found by multiplying the highest exponent prime factors of 5388 and 5392. First we will calculate the prime factors of 5388 and 5392.

Prime Factorization of 5388


2 5388
2 2694
3 1347
449 449
1

Prime factors of 5388 are 2, 3,449. Prime factorization of 5388 in exponential form is:

5388 = 22×31×4491

Prime Factorization of 5392


2 5392
2 2696
2 1348
2 674
337 337
1

Prime factors of 5392 are 2,337. Prime factorization of 5392 in exponential form is:

5392 = 24×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 5388 and 5392.

LCM(5388,5392) = 24×31×3371×4491
LCM(5388,5392) = 7263024

Factors of 5388

List of positive integer factors of 5388 that divides 5388 without a remainder.

1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388

Factors of 5392

List of positive integer factors of 5392 that divides 5392 without a remainder.

1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392

Least Common Multiple of 5388 and 5392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5388 and 5392, than apply into the LCM equation.

GCF(5388,5392) = 4
LCM(5388,5392) = ( 5388 × 5392) / 4
LCM(5388,5392) = 29052096 / 4
LCM(5388,5392) = 7263024

Properties of LCM 5388 and 5392

(i) The LCM of 5392 and 5388 is associative

LCM of 5388 and 5392 = LCM of 5392 and 5388

Related Least Common Multiples of 5388

Related Least Common Multiples of 5392

Frequently Asked Questions on LCM of 5388 and 5392

1. What is the LCM of 5388 and 5392?

Answer: LCM of 5388 and 5392 is 7263024.

2. What are the Factors of 5388?

Answer: Factors of 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388. There are 12 integers that are factors of 5388. The greatest factor of 5388 is 5388.

3. What are the Factors of 5392?

Answer: Factors of 5392 are 1, 2, 4, 8, 16, 337, 674, 1348, 2696, 5392. There are 10 integers that are factors of 5392. The greatest factor of 5392 is 5392.

4. How to Find the LCM of 5388 and 5392?

Answer:

Least Common Multiple of 5388 and 5392 = 7263024

Step 1: Find the prime factorization of 5388

5388 = 2 x 2 x 3 x 449

Step 2: Find the prime factorization of 5392

5392 = 2 x 2 x 2 x 2 x 337

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

LCM = 7263024 = 2 x 2 x 2 x 2 x 3 x 337 x 449

Step 4: Therefore, the least common multiple of 5388 and 5392 is 7263024.