Least Common Multiple of 5823 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 5823 and 5825 the smallest integer that is 33918975 that is divisible by both numbers.

Least Common Multiple (LCM) of 5823 and 5825 is 33918975.

LCM(5823,5825) = 33918975

LCM of 5823 and 5825

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

LCM of:
and

Least Common Multiple of 5823 and 5825

LCM of 5823 and 5825 is 33918975

Least common multiple can be found by multiplying the highest exponent prime factors of 5823 and 5825. First we will calculate the prime factors of 5823 and 5825.

Prime Factorization of 5823


3 5823
3 1941
647 647
1

Prime factors of 5823 are 3,647. Prime factorization of 5823 in exponential form is:

5823 = 32×6471

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 5823 and 5825.

LCM(5823,5825) = 32×52×2331×6471
LCM(5823,5825) = 33918975

Factors of 5823

List of positive integer factors of 5823 that divides 5823 without a remainder.

1, 3, 9, 647, 1941, 5823

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 5823 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 5823 and 5825, than apply into the LCM equation.

GCF(5823,5825) = 1
LCM(5823,5825) = ( 5823 × 5825) / 1
LCM(5823,5825) = 33918975 / 1
LCM(5823,5825) = 33918975

Properties of LCM 5823 and 5825

(i) The LCM of 5825 and 5823 is associative

LCM of 5823 and 5825 = LCM of 5825 and 5823

Related Least Common Multiples of 5823

Related Least Common Multiples of 5825

Frequently Asked Questions on LCM of 5823 and 5825

1. What is the LCM of 5823 and 5825?

Answer: LCM of 5823 and 5825 is 33918975.

2. What are the Factors of 5823?

Answer: Factors of 5823 are 1, 3, 9, 647, 1941, 5823. There are 6 integers that are factors of 5823. The greatest factor of 5823 is 5823.

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 5823 and 5825?

Answer:

Least Common Multiple of 5823 and 5825 = 33918975

Step 1: Find the prime factorization of 5823

5823 = 3 x 3 x 647

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 = 33918975 = 3 x 3 x 5 x 5 x 233 x 647

Step 4: Therefore, the least common multiple of 5823 and 5825 is 33918975.