Least Common Multiple of 5288 and 5294

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5288 and 5294 the smallest integer that is 13997336 that is divisible by both numbers.

Least Common Multiple (LCM) of 5288 and 5294 is 13997336.

LCM(5288,5294) = 13997336

LCM of 5288 and 5294

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

LCM of:
and

Least Common Multiple of 5288 and 5294

LCM of 5288 and 5294 is 13997336

Least common multiple can be found by multiplying the highest exponent prime factors of 5288 and 5294. First we will calculate the prime factors of 5288 and 5294.

Prime Factorization of 5288


2 5288
2 2644
2 1322
661 661
1

Prime factors of 5288 are 2,661. Prime factorization of 5288 in exponential form is:

5288 = 23×6611

Prime Factorization of 5294


2 5294
2647 2647
1

Prime factors of 5294 are 2,2647. Prime factorization of 5294 in exponential form is:

5294 = 21×26471

Now multiplying the highest exponent prime factors to calculate the LCM of 5288 and 5294.

LCM(5288,5294) = 23×6611×26471
LCM(5288,5294) = 13997336

Factors of 5288

List of positive integer factors of 5288 that divides 5288 without a remainder.

1, 2, 4, 8, 661, 1322, 2644, 5288

Factors of 5294

List of positive integer factors of 5294 that divides 5294 without a remainder.

1, 2, 2647, 5294

Least Common Multiple of 5288 and 5294 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5288 and 5294, than apply into the LCM equation.

GCF(5288,5294) = 2
LCM(5288,5294) = ( 5288 × 5294) / 2
LCM(5288,5294) = 27994672 / 2
LCM(5288,5294) = 13997336

Properties of LCM 5288 and 5294

(i) The LCM of 5294 and 5288 is associative

LCM of 5288 and 5294 = LCM of 5294 and 5288

Related Least Common Multiples of 5288

Related Least Common Multiples of 5294

Frequently Asked Questions on LCM of 5288 and 5294

1. What is the LCM of 5288 and 5294?

Answer: LCM of 5288 and 5294 is 13997336.

2. What are the Factors of 5288?

Answer: Factors of 5288 are 1, 2, 4, 8, 661, 1322, 2644, 5288. There are 8 integers that are factors of 5288. The greatest factor of 5288 is 5288.

3. What are the Factors of 5294?

Answer: Factors of 5294 are 1, 2, 2647, 5294. There are 4 integers that are factors of 5294. The greatest factor of 5294 is 5294.

4. How to Find the LCM of 5288 and 5294?

Answer:

Least Common Multiple of 5288 and 5294 = 13997336

Step 1: Find the prime factorization of 5288

5288 = 2 x 2 x 2 x 661

Step 2: Find the prime factorization of 5294

5294 = 2 x 2647

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

LCM = 13997336 = 2 x 2 x 2 x 661 x 2647

Step 4: Therefore, the least common multiple of 5288 and 5294 is 13997336.