Least Common Multiple of 5825 and 5832

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 5832 the smallest integer that is 33971400 that is divisible by both numbers.

Least Common Multiple (LCM) of 5825 and 5832 is 33971400.

LCM(5825,5832) = 33971400

LCM of 5825 and 5832

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

LCM of:
and

Least Common Multiple of 5825 and 5832

LCM of 5825 and 5832 is 33971400

Least common multiple can be found by multiplying the highest exponent prime factors of 5825 and 5832. First we will calculate the prime factors of 5825 and 5832.

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 5832


2 5832
2 2916
2 1458
3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 5832 are 2,3. Prime factorization of 5832 in exponential form is:

5832 = 23×36

Now multiplying the highest exponent prime factors to calculate the LCM of 5825 and 5832.

LCM(5825,5832) = 23×36×52×2331
LCM(5825,5832) = 33971400

Factors of 5825

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

1, 5, 25, 233, 1165, 5825

Factors of 5832

List of positive integer factors of 5832 that divides 5832 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832

Least Common Multiple of 5825 and 5832 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 5832, than apply into the LCM equation.

GCF(5825,5832) = 1
LCM(5825,5832) = ( 5825 × 5832) / 1
LCM(5825,5832) = 33971400 / 1
LCM(5825,5832) = 33971400

Properties of LCM 5825 and 5832

(i) The LCM of 5832 and 5825 is associative

LCM of 5825 and 5832 = LCM of 5832 and 5825

Related Least Common Multiples of 5825

Related Least Common Multiples of 5832

Frequently Asked Questions on LCM of 5825 and 5832

1. What is the LCM of 5825 and 5832?

Answer: LCM of 5825 and 5832 is 33971400.

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 5832?

Answer: Factors of 5832 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 243, 324, 486, 648, 729, 972, 1458, 1944, 2916, 5832. There are 28 integers that are factors of 5832. The greatest factor of 5832 is 5832.

4. How to Find the LCM of 5825 and 5832?

Answer:

Least Common Multiple of 5825 and 5832 = 33971400

Step 1: Find the prime factorization of 5825

5825 = 5 x 5 x 233

Step 2: Find the prime factorization of 5832

5832 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3

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

LCM = 33971400 = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 5 x 233

Step 4: Therefore, the least common multiple of 5825 and 5832 is 33971400.