Least Common Multiple of 5296 and 5300

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 5300 the smallest integer that is 7017200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5296 and 5300 is 7017200.

LCM(5296,5300) = 7017200

LCM of 5296 and 5300

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

LCM of:
and

Least Common Multiple of 5296 and 5300

LCM of 5296 and 5300 is 7017200

Least common multiple can be found by multiplying the highest exponent prime factors of 5296 and 5300. First we will calculate the prime factors of 5296 and 5300.

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 5300


2 5300
2 2650
5 1325
5 265
53 53
1

Prime factors of 5300 are 2, 5,53. Prime factorization of 5300 in exponential form is:

5300 = 22×52×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5296 and 5300.

LCM(5296,5300) = 24×52×531×3311
LCM(5296,5300) = 7017200

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 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300

Least Common Multiple of 5296 and 5300 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 5300, than apply into the LCM equation.

GCF(5296,5300) = 4
LCM(5296,5300) = ( 5296 × 5300) / 4
LCM(5296,5300) = 28068800 / 4
LCM(5296,5300) = 7017200

Properties of LCM 5296 and 5300

(i) The LCM of 5300 and 5296 is associative

LCM of 5296 and 5300 = LCM of 5300 and 5296

Frequently Asked Questions on LCM of 5296 and 5300

1. What is the LCM of 5296 and 5300?

Answer: LCM of 5296 and 5300 is 7017200.

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 5300?

Answer: Factors of 5300 are 1, 2, 4, 5, 10, 20, 25, 50, 53, 100, 106, 212, 265, 530, 1060, 1325, 2650, 5300. There are 18 integers that are factors of 5300. The greatest factor of 5300 is 5300.

4. How to Find the LCM of 5296 and 5300?

Answer:

Least Common Multiple of 5296 and 5300 = 7017200

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 5300

5300 = 2 x 2 x 5 x 5 x 53

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

LCM = 7017200 = 2 x 2 x 2 x 2 x 5 x 5 x 53 x 331

Step 4: Therefore, the least common multiple of 5296 and 5300 is 7017200.