Least Common Multiple of 5296 and 5304

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 5304 the smallest integer that is 3511248 that is divisible by both numbers.

Least Common Multiple (LCM) of 5296 and 5304 is 3511248.

LCM(5296,5304) = 3511248

LCM of 5296 and 5304

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

LCM of:
and

Least Common Multiple of 5296 and 5304

LCM of 5296 and 5304 is 3511248

Least common multiple can be found by multiplying the highest exponent prime factors of 5296 and 5304. First we will calculate the prime factors of 5296 and 5304.

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 5304


2 5304
2 2652
2 1326
3 663
13 221
17 17
1

Prime factors of 5304 are 2, 3, 13,17. Prime factorization of 5304 in exponential form is:

5304 = 23×31×131×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5296 and 5304.

LCM(5296,5304) = 24×31×131×171×3311
LCM(5296,5304) = 3511248

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 5304

List of positive integer factors of 5304 that divides 5304 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304

Least Common Multiple of 5296 and 5304 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 5304, than apply into the LCM equation.

GCF(5296,5304) = 8
LCM(5296,5304) = ( 5296 × 5304) / 8
LCM(5296,5304) = 28089984 / 8
LCM(5296,5304) = 3511248

Properties of LCM 5296 and 5304

(i) The LCM of 5304 and 5296 is associative

LCM of 5296 and 5304 = LCM of 5304 and 5296

Related Least Common Multiples of 5296

Related Least Common Multiples of 5304

Frequently Asked Questions on LCM of 5296 and 5304

1. What is the LCM of 5296 and 5304?

Answer: LCM of 5296 and 5304 is 3511248.

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 5304?

Answer: Factors of 5304 are 1, 2, 3, 4, 6, 8, 12, 13, 17, 24, 26, 34, 39, 51, 52, 68, 78, 102, 104, 136, 156, 204, 221, 312, 408, 442, 663, 884, 1326, 1768, 2652, 5304. There are 32 integers that are factors of 5304. The greatest factor of 5304 is 5304.

4. How to Find the LCM of 5296 and 5304?

Answer:

Least Common Multiple of 5296 and 5304 = 3511248

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 5304

5304 = 2 x 2 x 2 x 3 x 13 x 17

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

LCM = 3511248 = 2 x 2 x 2 x 2 x 3 x 13 x 17 x 331

Step 4: Therefore, the least common multiple of 5296 and 5304 is 3511248.