Least Common Multiple of 5828 and 5834

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 5834 the smallest integer that is 17000276 that is divisible by both numbers.

Least Common Multiple (LCM) of 5828 and 5834 is 17000276.

LCM(5828,5834) = 17000276

LCM of 5828 and 5834

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

LCM of:
and

Least Common Multiple of 5828 and 5834

LCM of 5828 and 5834 is 17000276

Least common multiple can be found by multiplying the highest exponent prime factors of 5828 and 5834. First we will calculate the prime factors of 5828 and 5834.

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 5834


2 5834
2917 2917
1

Prime factors of 5834 are 2,2917. Prime factorization of 5834 in exponential form is:

5834 = 21×29171

Now multiplying the highest exponent prime factors to calculate the LCM of 5828 and 5834.

LCM(5828,5834) = 22×311×471×29171
LCM(5828,5834) = 17000276

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 5834

List of positive integer factors of 5834 that divides 5834 without a remainder.

1, 2, 2917, 5834

Least Common Multiple of 5828 and 5834 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 5834, than apply into the LCM equation.

GCF(5828,5834) = 2
LCM(5828,5834) = ( 5828 × 5834) / 2
LCM(5828,5834) = 34000552 / 2
LCM(5828,5834) = 17000276

Properties of LCM 5828 and 5834

(i) The LCM of 5834 and 5828 is associative

LCM of 5828 and 5834 = LCM of 5834 and 5828

Related Least Common Multiples of 5828

Related Least Common Multiples of 5834

Frequently Asked Questions on LCM of 5828 and 5834

1. What is the LCM of 5828 and 5834?

Answer: LCM of 5828 and 5834 is 17000276.

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 5834?

Answer: Factors of 5834 are 1, 2, 2917, 5834. There are 4 integers that are factors of 5834. The greatest factor of 5834 is 5834.

4. How to Find the LCM of 5828 and 5834?

Answer:

Least Common Multiple of 5828 and 5834 = 17000276

Step 1: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 2: Find the prime factorization of 5834

5834 = 2 x 2917

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

LCM = 17000276 = 2 x 2 x 31 x 47 x 2917

Step 4: Therefore, the least common multiple of 5828 and 5834 is 17000276.