Least Common Multiple of 5788 and 5795

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 5795 the smallest integer that is 33541460 that is divisible by both numbers.

Least Common Multiple (LCM) of 5788 and 5795 is 33541460.

LCM(5788,5795) = 33541460

LCM of 5788 and 5795

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

LCM of:
and

Least Common Multiple of 5788 and 5795

LCM of 5788 and 5795 is 33541460

Least common multiple can be found by multiplying the highest exponent prime factors of 5788 and 5795. First we will calculate the prime factors of 5788 and 5795.

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 5795


5 5795
19 1159
61 61
1

Prime factors of 5795 are 5, 19,61. Prime factorization of 5795 in exponential form is:

5795 = 51×191×611

Now multiplying the highest exponent prime factors to calculate the LCM of 5788 and 5795.

LCM(5788,5795) = 22×51×191×611×14471
LCM(5788,5795) = 33541460

Factors of 5788

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

1, 2, 4, 1447, 2894, 5788

Factors of 5795

List of positive integer factors of 5795 that divides 5795 without a remainder.

1, 5, 19, 61, 95, 305, 1159, 5795

Least Common Multiple of 5788 and 5795 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 5795, than apply into the LCM equation.

GCF(5788,5795) = 1
LCM(5788,5795) = ( 5788 × 5795) / 1
LCM(5788,5795) = 33541460 / 1
LCM(5788,5795) = 33541460

Properties of LCM 5788 and 5795

(i) The LCM of 5795 and 5788 is associative

LCM of 5788 and 5795 = LCM of 5795 and 5788

Related Least Common Multiples of 5788

Related Least Common Multiples of 5795

Frequently Asked Questions on LCM of 5788 and 5795

1. What is the LCM of 5788 and 5795?

Answer: LCM of 5788 and 5795 is 33541460.

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 5795?

Answer: Factors of 5795 are 1, 5, 19, 61, 95, 305, 1159, 5795. There are 8 integers that are factors of 5795. The greatest factor of 5795 is 5795.

4. How to Find the LCM of 5788 and 5795?

Answer:

Least Common Multiple of 5788 and 5795 = 33541460

Step 1: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

Step 2: Find the prime factorization of 5795

5795 = 5 x 19 x 61

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

LCM = 33541460 = 2 x 2 x 5 x 19 x 61 x 1447

Step 4: Therefore, the least common multiple of 5788 and 5795 is 33541460.