Least Common Multiple of 5822 and 5827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5822 and 5827 the smallest integer that is 33924794 that is divisible by both numbers.

Least Common Multiple (LCM) of 5822 and 5827 is 33924794.

LCM(5822,5827) = 33924794

LCM of 5822 and 5827

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

LCM of:
and

Least Common Multiple of 5822 and 5827

LCM of 5822 and 5827 is 33924794

Least common multiple can be found by multiplying the highest exponent prime factors of 5822 and 5827. First we will calculate the prime factors of 5822 and 5827.

Prime Factorization of 5822


2 5822
41 2911
71 71
1

Prime factors of 5822 are 2, 41,71. Prime factorization of 5822 in exponential form is:

5822 = 21×411×711

Prime Factorization of 5827


5827 5827
1

Prime factors of 5827 are 5827. Prime factorization of 5827 in exponential form is:

5827 = 58271

Now multiplying the highest exponent prime factors to calculate the LCM of 5822 and 5827.

LCM(5822,5827) = 21×411×711×58271
LCM(5822,5827) = 33924794

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1, 2, 41, 71, 82, 142, 2911, 5822

Factors of 5827

List of positive integer factors of 5827 that divides 5827 without a remainder.

1, 5827

Least Common Multiple of 5822 and 5827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5822 and 5827, than apply into the LCM equation.

GCF(5822,5827) = 1
LCM(5822,5827) = ( 5822 × 5827) / 1
LCM(5822,5827) = 33924794 / 1
LCM(5822,5827) = 33924794

Properties of LCM 5822 and 5827

(i) The LCM of 5827 and 5822 is associative

LCM of 5822 and 5827 = LCM of 5827 and 5822

Related Least Common Multiples of 5822

Related Least Common Multiples of 5827

Frequently Asked Questions on LCM of 5822 and 5827

1. What is the LCM of 5822 and 5827?

Answer: LCM of 5822 and 5827 is 33924794.

2. What are the Factors of 5822?

Answer: Factors of 5822 are 1, 2, 41, 71, 82, 142, 2911, 5822. There are 8 integers that are factors of 5822. The greatest factor of 5822 is 5822.

3. What are the Factors of 5827?

Answer: Factors of 5827 are 1, 5827. There are 2 integers that are factors of 5827. The greatest factor of 5827 is 5827.

4. How to Find the LCM of 5822 and 5827?

Answer:

Least Common Multiple of 5822 and 5827 = 33924794

Step 1: Find the prime factorization of 5822

5822 = 2 x 41 x 71

Step 2: Find the prime factorization of 5827

5827 = 5827

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

LCM = 33924794 = 2 x 41 x 71 x 5827

Step 4: Therefore, the least common multiple of 5822 and 5827 is 33924794.