Least Common Multiple of 5288 and 5296

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 5296 the smallest integer that is 3500656 that is divisible by both numbers.

Least Common Multiple (LCM) of 5288 and 5296 is 3500656.

LCM(5288,5296) = 3500656

LCM of 5288 and 5296

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

LCM of:
and

Least Common Multiple of 5288 and 5296

LCM of 5288 and 5296 is 3500656

Least common multiple can be found by multiplying the highest exponent prime factors of 5288 and 5296. First we will calculate the prime factors of 5288 and 5296.

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 5296


2 5296
2 2648
2 1324
2 662
331 331
1

Prime factors of 5296 are 2,331. Prime factorization of 5296 in exponential form is:

5296 = 24×3311

Now multiplying the highest exponent prime factors to calculate the LCM of 5288 and 5296.

LCM(5288,5296) = 24×3311×6611
LCM(5288,5296) = 3500656

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 5296

List of positive integer factors of 5296 that divides 5296 without a remainder.

1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296

Least Common Multiple of 5288 and 5296 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 5296, than apply into the LCM equation.

GCF(5288,5296) = 8
LCM(5288,5296) = ( 5288 × 5296) / 8
LCM(5288,5296) = 28005248 / 8
LCM(5288,5296) = 3500656

Properties of LCM 5288 and 5296

(i) The LCM of 5296 and 5288 is associative

LCM of 5288 and 5296 = LCM of 5296 and 5288

Related Least Common Multiples of 5288

Related Least Common Multiples of 5296

Frequently Asked Questions on LCM of 5288 and 5296

1. What is the LCM of 5288 and 5296?

Answer: LCM of 5288 and 5296 is 3500656.

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 5296?

Answer: Factors of 5296 are 1, 2, 4, 8, 16, 331, 662, 1324, 2648, 5296. There are 10 integers that are factors of 5296. The greatest factor of 5296 is 5296.

4. How to Find the LCM of 5288 and 5296?

Answer:

Least Common Multiple of 5288 and 5296 = 3500656

Step 1: Find the prime factorization of 5288

5288 = 2 x 2 x 2 x 661

Step 2: Find the prime factorization of 5296

5296 = 2 x 2 x 2 x 2 x 331

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

LCM = 3500656 = 2 x 2 x 2 x 2 x 331 x 661

Step 4: Therefore, the least common multiple of 5288 and 5296 is 3500656.