Least Common Multiple of 5815 and 5822

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5815 and 5822 the smallest integer that is 33854930 that is divisible by both numbers.

Least Common Multiple (LCM) of 5815 and 5822 is 33854930.

LCM(5815,5822) = 33854930

LCM of 5815 and 5822

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

LCM of:
and

Least Common Multiple of 5815 and 5822

LCM of 5815 and 5822 is 33854930

Least common multiple can be found by multiplying the highest exponent prime factors of 5815 and 5822. First we will calculate the prime factors of 5815 and 5822.

Prime Factorization of 5815


5 5815
1163 1163
1

Prime factors of 5815 are 5,1163. Prime factorization of 5815 in exponential form is:

5815 = 51×11631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5815 and 5822.

LCM(5815,5822) = 21×51×411×711×11631
LCM(5815,5822) = 33854930

Factors of 5815

List of positive integer factors of 5815 that divides 5815 without a remainder.

1, 5, 1163, 5815

Factors of 5822

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

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

Least Common Multiple of 5815 and 5822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5815 and 5822, than apply into the LCM equation.

GCF(5815,5822) = 1
LCM(5815,5822) = ( 5815 × 5822) / 1
LCM(5815,5822) = 33854930 / 1
LCM(5815,5822) = 33854930

Properties of LCM 5815 and 5822

(i) The LCM of 5822 and 5815 is associative

LCM of 5815 and 5822 = LCM of 5822 and 5815

Related Least Common Multiples of 5815

Related Least Common Multiples of 5822

Frequently Asked Questions on LCM of 5815 and 5822

1. What is the LCM of 5815 and 5822?

Answer: LCM of 5815 and 5822 is 33854930.

2. What are the Factors of 5815?

Answer: Factors of 5815 are 1, 5, 1163, 5815. There are 4 integers that are factors of 5815. The greatest factor of 5815 is 5815.

3. 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.

4. How to Find the LCM of 5815 and 5822?

Answer:

Least Common Multiple of 5815 and 5822 = 33854930

Step 1: Find the prime factorization of 5815

5815 = 5 x 1163

Step 2: Find the prime factorization of 5822

5822 = 2 x 41 x 71

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

LCM = 33854930 = 2 x 5 x 41 x 71 x 1163

Step 4: Therefore, the least common multiple of 5815 and 5822 is 33854930.