Least Common Multiple of 5828 and 5831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5828 and 5831 the smallest integer that is 33983068 that is divisible by both numbers.

Least Common Multiple (LCM) of 5828 and 5831 is 33983068.

LCM(5828,5831) = 33983068

LCM of 5828 and 5831

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

LCM of:
and

Least Common Multiple of 5828 and 5831

LCM of 5828 and 5831 is 33983068

Least common multiple can be found by multiplying the highest exponent prime factors of 5828 and 5831. First we will calculate the prime factors of 5828 and 5831.

Prime Factorization of 5828


2 5828
2 2914
31 1457
47 47
1

Prime factors of 5828 are 2, 31,47. Prime factorization of 5828 in exponential form is:

5828 = 22×311×471

Prime Factorization of 5831


7 5831
7 833
7 119
17 17
1

Prime factors of 5831 are 7,17. Prime factorization of 5831 in exponential form is:

5831 = 73×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5828 and 5831.

LCM(5828,5831) = 22×73×171×311×471
LCM(5828,5831) = 33983068

Factors of 5828

List of positive integer factors of 5828 that divides 5828 without a remainder.

1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828

Factors of 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1, 7, 17, 49, 119, 343, 833, 5831

Least Common Multiple of 5828 and 5831 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5828 and 5831, than apply into the LCM equation.

GCF(5828,5831) = 1
LCM(5828,5831) = ( 5828 × 5831) / 1
LCM(5828,5831) = 33983068 / 1
LCM(5828,5831) = 33983068

Properties of LCM 5828 and 5831

(i) The LCM of 5831 and 5828 is associative

LCM of 5828 and 5831 = LCM of 5831 and 5828

Related Least Common Multiples of 5828

Related Least Common Multiples of 5831

Frequently Asked Questions on LCM of 5828 and 5831

1. What is the LCM of 5828 and 5831?

Answer: LCM of 5828 and 5831 is 33983068.

2. What are the Factors of 5828?

Answer: Factors of 5828 are 1, 2, 4, 31, 47, 62, 94, 124, 188, 1457, 2914, 5828. There are 12 integers that are factors of 5828. The greatest factor of 5828 is 5828.

3. What are the Factors of 5831?

Answer: Factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831. There are 8 integers that are factors of 5831. The greatest factor of 5831 is 5831.

4. How to Find the LCM of 5828 and 5831?

Answer:

Least Common Multiple of 5828 and 5831 = 33983068

Step 1: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 2: Find the prime factorization of 5831

5831 = 7 x 7 x 7 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 = 33983068 = 2 x 2 x 7 x 7 x 7 x 17 x 31 x 47

Step 4: Therefore, the least common multiple of 5828 and 5831 is 33983068.