Least Common Multiple of 5828 and 5832

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 5832 the smallest integer that is 8497224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5828 and 5832 is 8497224.

LCM(5828,5832) = 8497224

LCM of 5828 and 5832

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

LCM of:
and

Least Common Multiple of 5828 and 5832

LCM of 5828 and 5832 is 8497224

Least common multiple can be found by multiplying the highest exponent prime factors of 5828 and 5832. First we will calculate the prime factors of 5828 and 5832.

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 5832


2 5832
2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 5832 are 2,3. Prime factorization of 5832 in exponential form is:

5832 = 23×36

Now multiplying the highest exponent prime factors to calculate the LCM of 5828 and 5832.

LCM(5828,5832) = 23×36×311×471
LCM(5828,5832) = 8497224

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 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832

Least Common Multiple of 5828 and 5832 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 5832, than apply into the LCM equation.

GCF(5828,5832) = 4
LCM(5828,5832) = ( 5828 × 5832) / 4
LCM(5828,5832) = 33988896 / 4
LCM(5828,5832) = 8497224

Properties of LCM 5828 and 5832

(i) The LCM of 5832 and 5828 is associative

LCM of 5828 and 5832 = LCM of 5832 and 5828

Related Least Common Multiples of 5828

Related Least Common Multiples of 5832

Frequently Asked Questions on LCM of 5828 and 5832

1. What is the LCM of 5828 and 5832?

Answer: LCM of 5828 and 5832 is 8497224.

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 5832?

Answer: Factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832. There are 28 integers that are factors of 5832. The greatest factor of 5832 is 5832.

4. How to Find the LCM of 5828 and 5832?

Answer:

Least Common Multiple of 5828 and 5832 = 8497224

Step 1: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 2: Find the prime factorization of 5832

5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 8497224 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 31 x 47

Step 4: Therefore, the least common multiple of 5828 and 5832 is 8497224.