Least Common Multiple of 5304 and 5310

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 5310 the smallest integer that is 4694040 that is divisible by both numbers.

Least Common Multiple (LCM) of 5304 and 5310 is 4694040.

LCM(5304,5310) = 4694040

LCM of 5304 and 5310

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

LCM of:
and

Least Common Multiple of 5304 and 5310

LCM of 5304 and 5310 is 4694040

Least common multiple can be found by multiplying the highest exponent prime factors of 5304 and 5310. First we will calculate the prime factors of 5304 and 5310.

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 5310


2 5310
3 2655
3 885
5 295
59 59
1

Prime factors of 5310 are 2, 3, 5,59. Prime factorization of 5310 in exponential form is:

5310 = 21×32×51×591

Now multiplying the highest exponent prime factors to calculate the LCM of 5304 and 5310.

LCM(5304,5310) = 23×32×51×131×171×591
LCM(5304,5310) = 4694040

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 5310

List of positive integer factors of 5310 that divides 5310 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310

Least Common Multiple of 5304 and 5310 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 5310, than apply into the LCM equation.

GCF(5304,5310) = 6
LCM(5304,5310) = ( 5304 × 5310) / 6
LCM(5304,5310) = 28164240 / 6
LCM(5304,5310) = 4694040

Properties of LCM 5304 and 5310

(i) The LCM of 5310 and 5304 is associative

LCM of 5304 and 5310 = LCM of 5310 and 5304

Related Least Common Multiples of 5304

Related Least Common Multiples of 5310

Frequently Asked Questions on LCM of 5304 and 5310

1. What is the LCM of 5304 and 5310?

Answer: LCM of 5304 and 5310 is 4694040.

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 5310?

Answer: Factors of 5310 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 59, 90, 118, 177, 295, 354, 531, 590, 885, 1062, 1770, 2655, 5310. There are 24 integers that are factors of 5310. The greatest factor of 5310 is 5310.

4. How to Find the LCM of 5304 and 5310?

Answer:

Least Common Multiple of 5304 and 5310 = 4694040

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 5310

5310 = 2 x 3 x 3 x 5 x 59

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

LCM = 4694040 = 2 x 2 x 2 x 3 x 3 x 5 x 13 x 17 x 59

Step 4: Therefore, the least common multiple of 5304 and 5310 is 4694040.