Least Common Multiple of 5828 and 5833

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 5833 the smallest integer that is 33994724 that is divisible by both numbers.

Least Common Multiple (LCM) of 5828 and 5833 is 33994724.

LCM(5828,5833) = 33994724

LCM of 5828 and 5833

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

LCM of:
and

Least Common Multiple of 5828 and 5833

LCM of 5828 and 5833 is 33994724

Least common multiple can be found by multiplying the highest exponent prime factors of 5828 and 5833. First we will calculate the prime factors of 5828 and 5833.

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 5833


19 5833
307 307
1

Prime factors of 5833 are 19,307. Prime factorization of 5833 in exponential form is:

5833 = 191×3071

Now multiplying the highest exponent prime factors to calculate the LCM of 5828 and 5833.

LCM(5828,5833) = 22×191×311×471×3071
LCM(5828,5833) = 33994724

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 5833

List of positive integer factors of 5833 that divides 5833 without a remainder.

1, 19, 307, 5833

Least Common Multiple of 5828 and 5833 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 5833, than apply into the LCM equation.

GCF(5828,5833) = 1
LCM(5828,5833) = ( 5828 × 5833) / 1
LCM(5828,5833) = 33994724 / 1
LCM(5828,5833) = 33994724

Properties of LCM 5828 and 5833

(i) The LCM of 5833 and 5828 is associative

LCM of 5828 and 5833 = LCM of 5833 and 5828

Related Least Common Multiples of 5828

Related Least Common Multiples of 5833

Frequently Asked Questions on LCM of 5828 and 5833

1. What is the LCM of 5828 and 5833?

Answer: LCM of 5828 and 5833 is 33994724.

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 5833?

Answer: Factors of 5833 are 1, 19, 307, 5833. There are 4 integers that are factors of 5833. The greatest factor of 5833 is 5833.

4. How to Find the LCM of 5828 and 5833?

Answer:

Least Common Multiple of 5828 and 5833 = 33994724

Step 1: Find the prime factorization of 5828

5828 = 2 x 2 x 31 x 47

Step 2: Find the prime factorization of 5833

5833 = 19 x 307

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

LCM = 33994724 = 2 x 2 x 19 x 31 x 47 x 307

Step 4: Therefore, the least common multiple of 5828 and 5833 is 33994724.