Least Common Multiple of 5788 and 5796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5788 and 5796 the smallest integer that is 8386812 that is divisible by both numbers.

Least Common Multiple (LCM) of 5788 and 5796 is 8386812.

LCM(5788,5796) = 8386812

LCM of 5788 and 5796

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

LCM of:
and

Least Common Multiple of 5788 and 5796

LCM of 5788 and 5796 is 8386812

Least common multiple can be found by multiplying the highest exponent prime factors of 5788 and 5796. First we will calculate the prime factors of 5788 and 5796.

Prime Factorization of 5788


2 5788
2 2894
1447 1447
1

Prime factors of 5788 are 2,1447. Prime factorization of 5788 in exponential form is:

5788 = 22×14471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5788 and 5796.

LCM(5788,5796) = 22×32×71×231×14471
LCM(5788,5796) = 8386812

Factors of 5788

List of positive integer factors of 5788 that divides 5788 without a remainder.

1, 2, 4, 1447, 2894, 5788

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

Least Common Multiple of 5788 and 5796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5788 and 5796, than apply into the LCM equation.

GCF(5788,5796) = 4
LCM(5788,5796) = ( 5788 × 5796) / 4
LCM(5788,5796) = 33547248 / 4
LCM(5788,5796) = 8386812

Properties of LCM 5788 and 5796

(i) The LCM of 5796 and 5788 is associative

LCM of 5788 and 5796 = LCM of 5796 and 5788

Related Least Common Multiples of 5788

Related Least Common Multiples of 5796

Frequently Asked Questions on LCM of 5788 and 5796

1. What is the LCM of 5788 and 5796?

Answer: LCM of 5788 and 5796 is 8386812.

2. What are the Factors of 5788?

Answer: Factors of 5788 are 1, 2, 4, 1447, 2894, 5788. There are 6 integers that are factors of 5788. The greatest factor of 5788 is 5788.

3. 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.

4. How to Find the LCM of 5788 and 5796?

Answer:

Least Common Multiple of 5788 and 5796 = 8386812

Step 1: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

Step 2: Find the prime factorization of 5796

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

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

LCM = 8386812 = 2 x 2 x 3 x 3 x 7 x 23 x 1447

Step 4: Therefore, the least common multiple of 5788 and 5796 is 8386812.