Least Common Multiple of 5825 and 5831

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 5831 the smallest integer that is 33965575 that is divisible by both numbers.

Least Common Multiple (LCM) of 5825 and 5831 is 33965575.

LCM(5825,5831) = 33965575

LCM of 5825 and 5831

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

LCM of:
and

Least Common Multiple of 5825 and 5831

LCM of 5825 and 5831 is 33965575

Least common multiple can be found by multiplying the highest exponent prime factors of 5825 and 5831. First we will calculate the prime factors of 5825 and 5831.

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 5831


7 5831
7 833
7 119
17 17
1

Prime factors of 5831 are 7,17. Prime factorization of 5831 in exponential form is:

5831 = 73×171

Now multiplying the highest exponent prime factors to calculate the LCM of 5825 and 5831.

LCM(5825,5831) = 52×73×171×2331
LCM(5825,5831) = 33965575

Factors of 5825

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

1, 5, 25, 233, 1165, 5825

Factors of 5831

List of positive integer factors of 5831 that divides 5831 without a remainder.

1, 7, 17, 49, 119, 343, 833, 5831

Least Common Multiple of 5825 and 5831 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 5831, than apply into the LCM equation.

GCF(5825,5831) = 1
LCM(5825,5831) = ( 5825 × 5831) / 1
LCM(5825,5831) = 33965575 / 1
LCM(5825,5831) = 33965575

Properties of LCM 5825 and 5831

(i) The LCM of 5831 and 5825 is associative

LCM of 5825 and 5831 = LCM of 5831 and 5825

Related Least Common Multiples of 5825

Related Least Common Multiples of 5831

Frequently Asked Questions on LCM of 5825 and 5831

1. What is the LCM of 5825 and 5831?

Answer: LCM of 5825 and 5831 is 33965575.

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 5831?

Answer: Factors of 5831 are 1, 7, 17, 49, 119, 343, 833, 5831. There are 8 integers that are factors of 5831. The greatest factor of 5831 is 5831.

4. How to Find the LCM of 5825 and 5831?

Answer:

Least Common Multiple of 5825 and 5831 = 33965575

Step 1: Find the prime factorization of 5825

5825 = 5 x 5 x 233

Step 2: Find the prime factorization of 5831

5831 = 7 x 7 x 7 x 17

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

LCM = 33965575 = 5 x 5 x 7 x 7 x 7 x 17 x 233

Step 4: Therefore, the least common multiple of 5825 and 5831 is 33965575.