Least Common Multiple of 5825 and 5829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5825 and 5829 the smallest integer that is 33953925 that is divisible by both numbers.

Least Common Multiple (LCM) of 5825 and 5829 is 33953925.

LCM(5825,5829) = 33953925

LCM of 5825 and 5829

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

LCM of:
and

Least Common Multiple of 5825 and 5829

LCM of 5825 and 5829 is 33953925

Least common multiple can be found by multiplying the highest exponent prime factors of 5825 and 5829. First we will calculate the prime factors of 5825 and 5829.

Prime Factorization of 5825


5 5825
5 1165
233 233
1

Prime factors of 5825 are 5,233. Prime factorization of 5825 in exponential form is:

5825 = 52×2331

Prime Factorization of 5829


3 5829
29 1943
67 67
1

Prime factors of 5829 are 3, 29,67. Prime factorization of 5829 in exponential form is:

5829 = 31×291×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5825 and 5829.

LCM(5825,5829) = 31×52×291×671×2331
LCM(5825,5829) = 33953925

Factors of 5825

List of positive integer factors of 5825 that divides 5825 without a remainder.

1, 5, 25, 233, 1165, 5825

Factors of 5829

List of positive integer factors of 5829 that divides 5829 without a remainder.

1, 3, 29, 67, 87, 201, 1943, 5829

Least Common Multiple of 5825 and 5829 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5825 and 5829, than apply into the LCM equation.

GCF(5825,5829) = 1
LCM(5825,5829) = ( 5825 × 5829) / 1
LCM(5825,5829) = 33953925 / 1
LCM(5825,5829) = 33953925

Properties of LCM 5825 and 5829

(i) The LCM of 5829 and 5825 is associative

LCM of 5825 and 5829 = LCM of 5829 and 5825

Related Least Common Multiples of 5825

Related Least Common Multiples of 5829

Frequently Asked Questions on LCM of 5825 and 5829

1. What is the LCM of 5825 and 5829?

Answer: LCM of 5825 and 5829 is 33953925.

2. What are the Factors of 5825?

Answer: Factors of 5825 are 1, 5, 25, 233, 1165, 5825. There are 6 integers that are factors of 5825. The greatest factor of 5825 is 5825.

3. What are the Factors of 5829?

Answer: Factors of 5829 are 1, 3, 29, 67, 87, 201, 1943, 5829. There are 8 integers that are factors of 5829. The greatest factor of 5829 is 5829.

4. How to Find the LCM of 5825 and 5829?

Answer:

Least Common Multiple of 5825 and 5829 = 33953925

Step 1: Find the prime factorization of 5825

5825 = 5 x 5 x 233

Step 2: Find the prime factorization of 5829

5829 = 3 x 29 x 67

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

LCM = 33953925 = 3 x 5 x 5 x 29 x 67 x 233

Step 4: Therefore, the least common multiple of 5825 and 5829 is 33953925.