Least Common Multiple of 5304 and 5308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5304 and 5308 the smallest integer that is 7038408 that is divisible by both numbers.

Least Common Multiple (LCM) of 5304 and 5308 is 7038408.

LCM(5304,5308) = 7038408

LCM of 5304 and 5308

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

LCM of:
and

Least Common Multiple of 5304 and 5308

LCM of 5304 and 5308 is 7038408

Least common multiple can be found by multiplying the highest exponent prime factors of 5304 and 5308. First we will calculate the prime factors of 5304 and 5308.

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

Prime Factorization of 5308


2 5308
2 2654
1327 1327
1

Prime factors of 5308 are 2,1327. Prime factorization of 5308 in exponential form is:

5308 = 22×13271

Now multiplying the highest exponent prime factors to calculate the LCM of 5304 and 5308.

LCM(5304,5308) = 23×31×131×171×13271
LCM(5304,5308) = 7038408

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

Factors of 5308

List of positive integer factors of 5308 that divides 5308 without a remainder.

1, 2, 4, 1327, 2654, 5308

Least Common Multiple of 5304 and 5308 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5304 and 5308, than apply into the LCM equation.

GCF(5304,5308) = 4
LCM(5304,5308) = ( 5304 × 5308) / 4
LCM(5304,5308) = 28153632 / 4
LCM(5304,5308) = 7038408

Properties of LCM 5304 and 5308

(i) The LCM of 5308 and 5304 is associative

LCM of 5304 and 5308 = LCM of 5308 and 5304

Related Least Common Multiples of 5304

Related Least Common Multiples of 5308

Frequently Asked Questions on LCM of 5304 and 5308

1. What is the LCM of 5304 and 5308?

Answer: LCM of 5304 and 5308 is 7038408.

2. 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.

3. What are the Factors of 5308?

Answer: Factors of 5308 are 1, 2, 4, 1327, 2654, 5308. There are 6 integers that are factors of 5308. The greatest factor of 5308 is 5308.

4. How to Find the LCM of 5304 and 5308?

Answer:

Least Common Multiple of 5304 and 5308 = 7038408

Step 1: Find the prime factorization of 5304

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

Step 2: Find the prime factorization of 5308

5308 = 2 x 2 x 1327

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

LCM = 7038408 = 2 x 2 x 2 x 3 x 13 x 17 x 1327

Step 4: Therefore, the least common multiple of 5304 and 5308 is 7038408.