Least Common Multiple of 5788 and 5792

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 5792 the smallest integer that is 8381024 that is divisible by both numbers.

Least Common Multiple (LCM) of 5788 and 5792 is 8381024.

LCM(5788,5792) = 8381024

LCM of 5788 and 5792

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

LCM of:
and

Least Common Multiple of 5788 and 5792

LCM of 5788 and 5792 is 8381024

Least common multiple can be found by multiplying the highest exponent prime factors of 5788 and 5792. First we will calculate the prime factors of 5788 and 5792.

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 5792


2 5792
2 2896
2 1448
2 724
2 362
181 181
1

Prime factors of 5792 are 2,181. Prime factorization of 5792 in exponential form is:

5792 = 25×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 5788 and 5792.

LCM(5788,5792) = 25×1811×14471
LCM(5788,5792) = 8381024

Factors of 5788

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

1, 2, 4, 1447, 2894, 5788

Factors of 5792

List of positive integer factors of 5792 that divides 5792 without a remainder.

1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792

Least Common Multiple of 5788 and 5792 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 5792, than apply into the LCM equation.

GCF(5788,5792) = 4
LCM(5788,5792) = ( 5788 × 5792) / 4
LCM(5788,5792) = 33524096 / 4
LCM(5788,5792) = 8381024

Properties of LCM 5788 and 5792

(i) The LCM of 5792 and 5788 is associative

LCM of 5788 and 5792 = LCM of 5792 and 5788

Related Least Common Multiples of 5788

Related Least Common Multiples of 5792

Frequently Asked Questions on LCM of 5788 and 5792

1. What is the LCM of 5788 and 5792?

Answer: LCM of 5788 and 5792 is 8381024.

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 5792?

Answer: Factors of 5792 are 1, 2, 4, 8, 16, 32, 181, 362, 724, 1448, 2896, 5792. There are 12 integers that are factors of 5792. The greatest factor of 5792 is 5792.

4. How to Find the LCM of 5788 and 5792?

Answer:

Least Common Multiple of 5788 and 5792 = 8381024

Step 1: Find the prime factorization of 5788

5788 = 2 x 2 x 1447

Step 2: Find the prime factorization of 5792

5792 = 2 x 2 x 2 x 2 x 2 x 181

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

LCM = 8381024 = 2 x 2 x 2 x 2 x 2 x 181 x 1447

Step 4: Therefore, the least common multiple of 5788 and 5792 is 8381024.