Least Common Multiple of 5297 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 5297 and 5304 the smallest integer that is 28095288 that is divisible by both numbers.

Least Common Multiple (LCM) of 5297 and 5304 is 28095288.

LCM(5297,5304) = 28095288

LCM of 5297 and 5304

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

LCM of:
and

Least Common Multiple of 5297 and 5304

LCM of 5297 and 5304 is 28095288

Least common multiple can be found by multiplying the highest exponent prime factors of 5297 and 5304. First we will calculate the prime factors of 5297 and 5304.

Prime Factorization of 5297


5297 5297
1

Prime factors of 5297 are 5297. Prime factorization of 5297 in exponential form is:

5297 = 52971

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 5297 and 5304.

LCM(5297,5304) = 23×31×131×171×52971
LCM(5297,5304) = 28095288

Factors of 5297

List of positive integer factors of 5297 that divides 5297 without a remainder.

1, 5297

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 5297 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 5297 and 5304, than apply into the LCM equation.

GCF(5297,5304) = 1
LCM(5297,5304) = ( 5297 × 5304) / 1
LCM(5297,5304) = 28095288 / 1
LCM(5297,5304) = 28095288

Properties of LCM 5297 and 5304

(i) The LCM of 5304 and 5297 is associative

LCM of 5297 and 5304 = LCM of 5304 and 5297

Related Least Common Multiples of 5297

Related Least Common Multiples of 5304

Frequently Asked Questions on LCM of 5297 and 5304

1. What is the LCM of 5297 and 5304?

Answer: LCM of 5297 and 5304 is 28095288.

2. What are the Factors of 5297?

Answer: Factors of 5297 are 1, 5297. There are 2 integers that are factors of 5297. The greatest factor of 5297 is 5297.

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 5297 and 5304?

Answer:

Least Common Multiple of 5297 and 5304 = 28095288

Step 1: Find the prime factorization of 5297

5297 = 5297

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 = 28095288 = 2 x 2 x 2 x 3 x 13 x 17 x 5297

Step 4: Therefore, the least common multiple of 5297 and 5304 is 28095288.