Least Common Multiple of 5796 and 5802

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 5802 the smallest integer that is 5604732 that is divisible by both numbers.

Least Common Multiple (LCM) of 5796 and 5802 is 5604732.

LCM(5796,5802) = 5604732

LCM of 5796 and 5802

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

LCM of:
and

Least Common Multiple of 5796 and 5802

LCM of 5796 and 5802 is 5604732

Least common multiple can be found by multiplying the highest exponent prime factors of 5796 and 5802. First we will calculate the prime factors of 5796 and 5802.

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 5802


2 5802
3 2901
967 967
1

Prime factors of 5802 are 2, 3,967. Prime factorization of 5802 in exponential form is:

5802 = 21×31×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 5796 and 5802.

LCM(5796,5802) = 22×32×71×231×9671
LCM(5796,5802) = 5604732

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 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1, 2, 3, 6, 967, 1934, 2901, 5802

Least Common Multiple of 5796 and 5802 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 5802, than apply into the LCM equation.

GCF(5796,5802) = 6
LCM(5796,5802) = ( 5796 × 5802) / 6
LCM(5796,5802) = 33628392 / 6
LCM(5796,5802) = 5604732

Properties of LCM 5796 and 5802

(i) The LCM of 5802 and 5796 is associative

LCM of 5796 and 5802 = LCM of 5802 and 5796

Related Least Common Multiples of 5796

Related Least Common Multiples of 5802

Frequently Asked Questions on LCM of 5796 and 5802

1. What is the LCM of 5796 and 5802?

Answer: LCM of 5796 and 5802 is 5604732.

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 5802?

Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.

4. How to Find the LCM of 5796 and 5802?

Answer:

Least Common Multiple of 5796 and 5802 = 5604732

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 5802

5802 = 2 x 3 x 967

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

LCM = 5604732 = 2 x 2 x 3 x 3 x 7 x 23 x 967

Step 4: Therefore, the least common multiple of 5796 and 5802 is 5604732.