Least Common Multiple of 5817 and 5823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5817 and 5823 the smallest integer that is 11290797 that is divisible by both numbers.

Least Common Multiple (LCM) of 5817 and 5823 is 11290797.

LCM(5817,5823) = 11290797

LCM of 5817 and 5823

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

LCM of:
and

Least Common Multiple of 5817 and 5823

LCM of 5817 and 5823 is 11290797

Least common multiple can be found by multiplying the highest exponent prime factors of 5817 and 5823. First we will calculate the prime factors of 5817 and 5823.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5817 and 5823.

LCM(5817,5823) = 32×71×2771×6471
LCM(5817,5823) = 11290797

Factors of 5817

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

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

Factors of 5823

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

1, 3, 9, 647, 1941, 5823

Least Common Multiple of 5817 and 5823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5817 and 5823, than apply into the LCM equation.

GCF(5817,5823) = 3
LCM(5817,5823) = ( 5817 × 5823) / 3
LCM(5817,5823) = 33872391 / 3
LCM(5817,5823) = 11290797

Properties of LCM 5817 and 5823

(i) The LCM of 5823 and 5817 is associative

LCM of 5817 and 5823 = LCM of 5823 and 5817

Related Least Common Multiples of 5817

Related Least Common Multiples of 5823

Frequently Asked Questions on LCM of 5817 and 5823

1. What is the LCM of 5817 and 5823?

Answer: LCM of 5817 and 5823 is 11290797.

2. 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.

3. 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.

4. How to Find the LCM of 5817 and 5823?

Answer:

Least Common Multiple of 5817 and 5823 = 11290797

Step 1: Find the prime factorization of 5817

5817 = 3 x 7 x 277

Step 2: Find the prime factorization of 5823

5823 = 3 x 3 x 647

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

LCM = 11290797 = 3 x 3 x 7 x 277 x 647

Step 4: Therefore, the least common multiple of 5817 and 5823 is 11290797.