Least Common Multiple of 5790 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 5790 and 5796 the smallest integer that is 5593140 that is divisible by both numbers.

Least Common Multiple (LCM) of 5790 and 5796 is 5593140.

LCM(5790,5796) = 5593140

LCM of 5790 and 5796

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

LCM of:
and

Least Common Multiple of 5790 and 5796

LCM of 5790 and 5796 is 5593140

Least common multiple can be found by multiplying the highest exponent prime factors of 5790 and 5796. First we will calculate the prime factors of 5790 and 5796.

Prime Factorization of 5790


2 5790
3 2895
5 965
193 193
1

Prime factors of 5790 are 2, 3, 5,193. Prime factorization of 5790 in exponential form is:

5790 = 21×31×51×1931

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 5790 and 5796.

LCM(5790,5796) = 22×32×51×71×231×1931
LCM(5790,5796) = 5593140

Factors of 5790

List of positive integer factors of 5790 that divides 5790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790

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 5790 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 5790 and 5796, than apply into the LCM equation.

GCF(5790,5796) = 6
LCM(5790,5796) = ( 5790 × 5796) / 6
LCM(5790,5796) = 33558840 / 6
LCM(5790,5796) = 5593140

Properties of LCM 5790 and 5796

(i) The LCM of 5796 and 5790 is associative

LCM of 5790 and 5796 = LCM of 5796 and 5790

Related Least Common Multiples of 5790

Related Least Common Multiples of 5796

Frequently Asked Questions on LCM of 5790 and 5796

1. What is the LCM of 5790 and 5796?

Answer: LCM of 5790 and 5796 is 5593140.

2. What are the Factors of 5790?

Answer: Factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790. There are 16 integers that are factors of 5790. The greatest factor of 5790 is 5790.

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 5790 and 5796?

Answer:

Least Common Multiple of 5790 and 5796 = 5593140

Step 1: Find the prime factorization of 5790

5790 = 2 x 3 x 5 x 193

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 = 5593140 = 2 x 2 x 3 x 3 x 5 x 7 x 23 x 193

Step 4: Therefore, the least common multiple of 5790 and 5796 is 5593140.