Least Common Multiple of 5288 and 5293

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 5293 the smallest integer that is 27989384 that is divisible by both numbers.

Least Common Multiple (LCM) of 5288 and 5293 is 27989384.

LCM(5288,5293) = 27989384

LCM of 5288 and 5293

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

LCM of:
and

Least Common Multiple of 5288 and 5293

LCM of 5288 and 5293 is 27989384

Least common multiple can be found by multiplying the highest exponent prime factors of 5288 and 5293. First we will calculate the prime factors of 5288 and 5293.

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 5293


67 5293
79 79
1

Prime factors of 5293 are 67,79. Prime factorization of 5293 in exponential form is:

5293 = 671×791

Now multiplying the highest exponent prime factors to calculate the LCM of 5288 and 5293.

LCM(5288,5293) = 23×671×791×6611
LCM(5288,5293) = 27989384

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 5293

List of positive integer factors of 5293 that divides 5293 without a remainder.

1, 67, 79, 5293

Least Common Multiple of 5288 and 5293 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 5293, than apply into the LCM equation.

GCF(5288,5293) = 1
LCM(5288,5293) = ( 5288 × 5293) / 1
LCM(5288,5293) = 27989384 / 1
LCM(5288,5293) = 27989384

Properties of LCM 5288 and 5293

(i) The LCM of 5293 and 5288 is associative

LCM of 5288 and 5293 = LCM of 5293 and 5288

Related Least Common Multiples of 5288

Related Least Common Multiples of 5293

Frequently Asked Questions on LCM of 5288 and 5293

1. What is the LCM of 5288 and 5293?

Answer: LCM of 5288 and 5293 is 27989384.

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 5293?

Answer: Factors of 5293 are 1, 67, 79, 5293. There are 4 integers that are factors of 5293. The greatest factor of 5293 is 5293.

4. How to Find the LCM of 5288 and 5293?

Answer:

Least Common Multiple of 5288 and 5293 = 27989384

Step 1: Find the prime factorization of 5288

5288 = 2 x 2 x 2 x 661

Step 2: Find the prime factorization of 5293

5293 = 67 x 79

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

LCM = 27989384 = 2 x 2 x 2 x 67 x 79 x 661

Step 4: Therefore, the least common multiple of 5288 and 5293 is 27989384.