Least Common Multiple of 5296 and 5302

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 5302 the smallest integer that is 14039696 that is divisible by both numbers.

Least Common Multiple (LCM) of 5296 and 5302 is 14039696.

LCM(5296,5302) = 14039696

LCM of 5296 and 5302

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

LCM of:
and

Least Common Multiple of 5296 and 5302

LCM of 5296 and 5302 is 14039696

Least common multiple can be found by multiplying the highest exponent prime factors of 5296 and 5302. First we will calculate the prime factors of 5296 and 5302.

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 5302


2 5302
11 2651
241 241
1

Prime factors of 5302 are 2, 11,241. Prime factorization of 5302 in exponential form is:

5302 = 21×111×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 5296 and 5302.

LCM(5296,5302) = 24×111×2411×3311
LCM(5296,5302) = 14039696

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 5302

List of positive integer factors of 5302 that divides 5302 without a remainder.

1, 2, 11, 22, 241, 482, 2651, 5302

Least Common Multiple of 5296 and 5302 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 5302, than apply into the LCM equation.

GCF(5296,5302) = 2
LCM(5296,5302) = ( 5296 × 5302) / 2
LCM(5296,5302) = 28079392 / 2
LCM(5296,5302) = 14039696

Properties of LCM 5296 and 5302

(i) The LCM of 5302 and 5296 is associative

LCM of 5296 and 5302 = LCM of 5302 and 5296

Related Least Common Multiples of 5296

Related Least Common Multiples of 5302

Frequently Asked Questions on LCM of 5296 and 5302

1. What is the LCM of 5296 and 5302?

Answer: LCM of 5296 and 5302 is 14039696.

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 5302?

Answer: Factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302. There are 8 integers that are factors of 5302. The greatest factor of 5302 is 5302.

4. How to Find the LCM of 5296 and 5302?

Answer:

Least Common Multiple of 5296 and 5302 = 14039696

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 5302

5302 = 2 x 11 x 241

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

LCM = 14039696 = 2 x 2 x 2 x 2 x 11 x 241 x 331

Step 4: Therefore, the least common multiple of 5296 and 5302 is 14039696.