Least Common Multiple of 5296 and 5303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5296 and 5303 the smallest integer that is 28084688 that is divisible by both numbers.

Least Common Multiple (LCM) of 5296 and 5303 is 28084688.

LCM(5296,5303) = 28084688

LCM of 5296 and 5303

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

LCM of:
and

Least Common Multiple of 5296 and 5303

LCM of 5296 and 5303 is 28084688

Least common multiple can be found by multiplying the highest exponent prime factors of 5296 and 5303. First we will calculate the prime factors of 5296 and 5303.

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

Prime Factorization of 5303


5303 5303
1

Prime factors of 5303 are 5303. Prime factorization of 5303 in exponential form is:

5303 = 53031

Now multiplying the highest exponent prime factors to calculate the LCM of 5296 and 5303.

LCM(5296,5303) = 24×3311×53031
LCM(5296,5303) = 28084688

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

Factors of 5303

List of positive integer factors of 5303 that divides 5303 without a remainder.

1, 5303

Least Common Multiple of 5296 and 5303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5296 and 5303, than apply into the LCM equation.

GCF(5296,5303) = 1
LCM(5296,5303) = ( 5296 × 5303) / 1
LCM(5296,5303) = 28084688 / 1
LCM(5296,5303) = 28084688

Properties of LCM 5296 and 5303

(i) The LCM of 5303 and 5296 is associative

LCM of 5296 and 5303 = LCM of 5303 and 5296

Related Least Common Multiples of 5296

Related Least Common Multiples of 5303

Frequently Asked Questions on LCM of 5296 and 5303

1. What is the LCM of 5296 and 5303?

Answer: LCM of 5296 and 5303 is 28084688.

2. 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.

3. What are the Factors of 5303?

Answer: Factors of 5303 are 1, 5303. There are 2 integers that are factors of 5303. The greatest factor of 5303 is 5303.

4. How to Find the LCM of 5296 and 5303?

Answer:

Least Common Multiple of 5296 and 5303 = 28084688

Step 1: Find the prime factorization of 5296

5296 = 2 x 2 x 2 x 2 x 331

Step 2: Find the prime factorization of 5303

5303 = 5303

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

LCM = 28084688 = 2 x 2 x 2 x 2 x 331 x 5303

Step 4: Therefore, the least common multiple of 5296 and 5303 is 28084688.