Least Common Multiple of 5303 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 5303 and 5310 the smallest integer that is 28158930 that is divisible by both numbers.

Least Common Multiple (LCM) of 5303 and 5310 is 28158930.

LCM(5303,5310) = 28158930

LCM of 5303 and 5310

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

LCM of:
and

Least Common Multiple of 5303 and 5310

LCM of 5303 and 5310 is 28158930

Least common multiple can be found by multiplying the highest exponent prime factors of 5303 and 5310. First we will calculate the prime factors of 5303 and 5310.

Prime Factorization of 5303


5303 5303
1

Prime factors of 5303 are 5303. Prime factorization of 5303 in exponential form is:

5303 = 53031

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 5303 and 5310.

LCM(5303,5310) = 21×32×51×591×53031
LCM(5303,5310) = 28158930

Factors of 5303

List of positive integer factors of 5303 that divides 5303 without a remainder.

1, 5303

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 5303 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 5303 and 5310, than apply into the LCM equation.

GCF(5303,5310) = 1
LCM(5303,5310) = ( 5303 × 5310) / 1
LCM(5303,5310) = 28158930 / 1
LCM(5303,5310) = 28158930

Properties of LCM 5303 and 5310

(i) The LCM of 5310 and 5303 is associative

LCM of 5303 and 5310 = LCM of 5310 and 5303

Related Least Common Multiples of 5303

Related Least Common Multiples of 5310

Frequently Asked Questions on LCM of 5303 and 5310

1. What is the LCM of 5303 and 5310?

Answer: LCM of 5303 and 5310 is 28158930.

2. What are the Factors of 5303?

Answer: Factors of 5303 are 1, 5303. There are 2 integers that are factors of 5303. The greatest factor of 5303 is 5303.

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 5303 and 5310?

Answer:

Least Common Multiple of 5303 and 5310 = 28158930

Step 1: Find the prime factorization of 5303

5303 = 5303

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 = 28158930 = 2 x 3 x 3 x 5 x 59 x 5303

Step 4: Therefore, the least common multiple of 5303 and 5310 is 28158930.