Least Common Multiple of 5796 and 5803

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 5803 the smallest integer that is 4804884 that is divisible by both numbers.

Least Common Multiple (LCM) of 5796 and 5803 is 4804884.

LCM(5796,5803) = 4804884

LCM of 5796 and 5803

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

LCM of:
and

Least Common Multiple of 5796 and 5803

LCM of 5796 and 5803 is 4804884

Least common multiple can be found by multiplying the highest exponent prime factors of 5796 and 5803. First we will calculate the prime factors of 5796 and 5803.

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 5803


7 5803
829 829
1

Prime factors of 5803 are 7,829. Prime factorization of 5803 in exponential form is:

5803 = 71×8291

Now multiplying the highest exponent prime factors to calculate the LCM of 5796 and 5803.

LCM(5796,5803) = 22×32×71×231×8291
LCM(5796,5803) = 4804884

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 5803

List of positive integer factors of 5803 that divides 5803 without a remainder.

1, 7, 829, 5803

Least Common Multiple of 5796 and 5803 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 5803, than apply into the LCM equation.

GCF(5796,5803) = 7
LCM(5796,5803) = ( 5796 × 5803) / 7
LCM(5796,5803) = 33634188 / 7
LCM(5796,5803) = 4804884

Properties of LCM 5796 and 5803

(i) The LCM of 5803 and 5796 is associative

LCM of 5796 and 5803 = LCM of 5803 and 5796

Related Least Common Multiples of 5796

Related Least Common Multiples of 5803

Frequently Asked Questions on LCM of 5796 and 5803

1. What is the LCM of 5796 and 5803?

Answer: LCM of 5796 and 5803 is 4804884.

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 5803?

Answer: Factors of 5803 are 1, 7, 829, 5803. There are 4 integers that are factors of 5803. The greatest factor of 5803 is 5803.

4. How to Find the LCM of 5796 and 5803?

Answer:

Least Common Multiple of 5796 and 5803 = 4804884

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 5803

5803 = 7 x 829

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

LCM = 4804884 = 2 x 2 x 3 x 3 x 7 x 23 x 829

Step 4: Therefore, the least common multiple of 5796 and 5803 is 4804884.