Least Common Multiple of 5796 and 5800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5796 and 5800 the smallest integer that is 8404200 that is divisible by both numbers.

Least Common Multiple (LCM) of 5796 and 5800 is 8404200.

LCM(5796,5800) = 8404200

LCM of 5796 and 5800

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

LCM of:
and

Least Common Multiple of 5796 and 5800

LCM of 5796 and 5800 is 8404200

Least common multiple can be found by multiplying the highest exponent prime factors of 5796 and 5800. First we will calculate the prime factors of 5796 and 5800.

Prime Factorization of 5796


2 5796
2 2898
3 1449
3 483
7 161
23 23
1

Prime factors of 5796 are 2, 3, 7,23. Prime factorization of 5796 in exponential form is:

5796 = 22×32×71×231

Prime Factorization of 5800


2 5800
2 2900
2 1450
5 725
5 145
29 29
1

Prime factors of 5800 are 2, 5,29. Prime factorization of 5800 in exponential form is:

5800 = 23×52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 5796 and 5800.

LCM(5796,5800) = 23×32×52×71×231×291
LCM(5796,5800) = 8404200

Factors of 5796

List of positive integer factors of 5796 that divides 5796 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796

Factors of 5800

List of positive integer factors of 5800 that divides 5800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800

Least Common Multiple of 5796 and 5800 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5796 and 5800, than apply into the LCM equation.

GCF(5796,5800) = 4
LCM(5796,5800) = ( 5796 × 5800) / 4
LCM(5796,5800) = 33616800 / 4
LCM(5796,5800) = 8404200

Properties of LCM 5796 and 5800

(i) The LCM of 5800 and 5796 is associative

LCM of 5796 and 5800 = LCM of 5800 and 5796

Related Least Common Multiples of 5796

Related Least Common Multiples of 5800

Frequently Asked Questions on LCM of 5796 and 5800

1. What is the LCM of 5796 and 5800?

Answer: LCM of 5796 and 5800 is 8404200.

2. What are the Factors of 5796?

Answer: Factors of 5796 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 23, 28, 36, 42, 46, 63, 69, 84, 92, 126, 138, 161, 207, 252, 276, 322, 414, 483, 644, 828, 966, 1449, 1932, 2898, 5796. There are 36 integers that are factors of 5796. The greatest factor of 5796 is 5796.

3. What are the Factors of 5800?

Answer: Factors of 5800 are 1, 2, 4, 5, 8, 10, 20, 25, 29, 40, 50, 58, 100, 116, 145, 200, 232, 290, 580, 725, 1160, 1450, 2900, 5800. There are 24 integers that are factors of 5800. The greatest factor of 5800 is 5800.

4. How to Find the LCM of 5796 and 5800?

Answer:

Least Common Multiple of 5796 and 5800 = 8404200

Step 1: Find the prime factorization of 5796

5796 = 2 x 2 x 3 x 3 x 7 x 23

Step 2: Find the prime factorization of 5800

5800 = 2 x 2 x 2 x 5 x 5 x 29

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

LCM = 8404200 = 2 x 2 x 2 x 3 x 3 x 5 x 5 x 7 x 23 x 29

Step 4: Therefore, the least common multiple of 5796 and 5800 is 8404200.