Least Common Multiple of 5792 and 5797

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5792 and 5797 the smallest integer that is 33576224 that is divisible by both numbers.

Least Common Multiple (LCM) of 5792 and 5797 is 33576224.

LCM(5792,5797) = 33576224

LCM of 5792 and 5797

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

LCM of:
and

Least Common Multiple of 5792 and 5797

LCM of 5792 and 5797 is 33576224

Least common multiple can be found by multiplying the highest exponent prime factors of 5792 and 5797. First we will calculate the prime factors of 5792 and 5797.

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

Prime Factorization of 5797


11 5797
17 527
31 31
1

Prime factors of 5797 are 11, 17,31. Prime factorization of 5797 in exponential form is:

5797 = 111×171×311

Now multiplying the highest exponent prime factors to calculate the LCM of 5792 and 5797.

LCM(5792,5797) = 25×111×171×311×1811
LCM(5792,5797) = 33576224

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

Factors of 5797

List of positive integer factors of 5797 that divides 5797 without a remainder.

1, 11, 17, 31, 187, 341, 527, 5797

Least Common Multiple of 5792 and 5797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5792 and 5797, than apply into the LCM equation.

GCF(5792,5797) = 1
LCM(5792,5797) = ( 5792 × 5797) / 1
LCM(5792,5797) = 33576224 / 1
LCM(5792,5797) = 33576224

Properties of LCM 5792 and 5797

(i) The LCM of 5797 and 5792 is associative

LCM of 5792 and 5797 = LCM of 5797 and 5792

Related Least Common Multiples of 5792

Related Least Common Multiples of 5797

Frequently Asked Questions on LCM of 5792 and 5797

1. What is the LCM of 5792 and 5797?

Answer: LCM of 5792 and 5797 is 33576224.

2. 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.

3. What are the Factors of 5797?

Answer: Factors of 5797 are 1, 11, 17, 31, 187, 341, 527, 5797. There are 8 integers that are factors of 5797. The greatest factor of 5797 is 5797.

4. How to Find the LCM of 5792 and 5797?

Answer:

Least Common Multiple of 5792 and 5797 = 33576224

Step 1: Find the prime factorization of 5792

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

Step 2: Find the prime factorization of 5797

5797 = 11 x 17 x 31

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

LCM = 33576224 = 2 x 2 x 2 x 2 x 2 x 11 x 17 x 31 x 181

Step 4: Therefore, the least common multiple of 5792 and 5797 is 33576224.