Least Common Multiple of 5817 and 5825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5817 and 5825 the smallest integer that is 33884025 that is divisible by both numbers.

Least Common Multiple (LCM) of 5817 and 5825 is 33884025.

LCM(5817,5825) = 33884025

LCM of 5817 and 5825

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

LCM of:
and

Least Common Multiple of 5817 and 5825

LCM of 5817 and 5825 is 33884025

Least common multiple can be found by multiplying the highest exponent prime factors of 5817 and 5825. First we will calculate the prime factors of 5817 and 5825.

Prime Factorization of 5817


3 5817
7 1939
277 277
1

Prime factors of 5817 are 3, 7,277. Prime factorization of 5817 in exponential form is:

5817 = 31×71×2771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5817 and 5825.

LCM(5817,5825) = 31×52×71×2331×2771
LCM(5817,5825) = 33884025

Factors of 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1, 3, 7, 21, 277, 831, 1939, 5817

Factors of 5825

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

1, 5, 25, 233, 1165, 5825

Least Common Multiple of 5817 and 5825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5817 and 5825, than apply into the LCM equation.

GCF(5817,5825) = 1
LCM(5817,5825) = ( 5817 × 5825) / 1
LCM(5817,5825) = 33884025 / 1
LCM(5817,5825) = 33884025

Properties of LCM 5817 and 5825

(i) The LCM of 5825 and 5817 is associative

LCM of 5817 and 5825 = LCM of 5825 and 5817

Related Least Common Multiples of 5817

Related Least Common Multiples of 5825

Frequently Asked Questions on LCM of 5817 and 5825

1. What is the LCM of 5817 and 5825?

Answer: LCM of 5817 and 5825 is 33884025.

2. What are the Factors of 5817?

Answer: Factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817. There are 8 integers that are factors of 5817. The greatest factor of 5817 is 5817.

3. 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.

4. How to Find the LCM of 5817 and 5825?

Answer:

Least Common Multiple of 5817 and 5825 = 33884025

Step 1: Find the prime factorization of 5817

5817 = 3 x 7 x 277

Step 2: Find the prime factorization of 5825

5825 = 5 x 5 x 233

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

LCM = 33884025 = 3 x 5 x 5 x 7 x 233 x 277

Step 4: Therefore, the least common multiple of 5817 and 5825 is 33884025.