Least Common Multiple of 5813 and 5817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5813 and 5817 the smallest integer that is 33814221 that is divisible by both numbers.

Least Common Multiple (LCM) of 5813 and 5817 is 33814221.

LCM(5813,5817) = 33814221

LCM of 5813 and 5817

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

LCM of:
and

Least Common Multiple of 5813 and 5817

LCM of 5813 and 5817 is 33814221

Least common multiple can be found by multiplying the highest exponent prime factors of 5813 and 5817. First we will calculate the prime factors of 5813 and 5817.

Prime Factorization of 5813


5813 5813
1

Prime factors of 5813 are 5813. Prime factorization of 5813 in exponential form is:

5813 = 58131

Prime Factorization of 5817


3 5817
7 1939
277 277
1

Prime factors of 5817 are 3, 7,277. Prime factorization of 5817 in exponential form is:

5817 = 31×71×2771

Now multiplying the highest exponent prime factors to calculate the LCM of 5813 and 5817.

LCM(5813,5817) = 31×71×2771×58131
LCM(5813,5817) = 33814221

Factors of 5813

List of positive integer factors of 5813 that divides 5813 without a remainder.

1, 5813

Factors of 5817

List of positive integer factors of 5817 that divides 5817 without a remainder.

1, 3, 7, 21, 277, 831, 1939, 5817

Least Common Multiple of 5813 and 5817 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5813 and 5817, than apply into the LCM equation.

GCF(5813,5817) = 1
LCM(5813,5817) = ( 5813 × 5817) / 1
LCM(5813,5817) = 33814221 / 1
LCM(5813,5817) = 33814221

Properties of LCM 5813 and 5817

(i) The LCM of 5817 and 5813 is associative

LCM of 5813 and 5817 = LCM of 5817 and 5813

Related Least Common Multiples of 5813

Related Least Common Multiples of 5817

Frequently Asked Questions on LCM of 5813 and 5817

1. What is the LCM of 5813 and 5817?

Answer: LCM of 5813 and 5817 is 33814221.

2. What are the Factors of 5813?

Answer: Factors of 5813 are 1, 5813. There are 2 integers that are factors of 5813. The greatest factor of 5813 is 5813.

3. What are the Factors of 5817?

Answer: Factors of 5817 are 1, 3, 7, 21, 277, 831, 1939, 5817. There are 8 integers that are factors of 5817. The greatest factor of 5817 is 5817.

4. How to Find the LCM of 5813 and 5817?

Answer:

Least Common Multiple of 5813 and 5817 = 33814221

Step 1: Find the prime factorization of 5813

5813 = 5813

Step 2: Find the prime factorization of 5817

5817 = 3 x 7 x 277

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

LCM = 33814221 = 3 x 7 x 277 x 5813

Step 4: Therefore, the least common multiple of 5813 and 5817 is 33814221.