Least Common Multiple of 5792 and 5798

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 5798 the smallest integer that is 16791008 that is divisible by both numbers.

Least Common Multiple (LCM) of 5792 and 5798 is 16791008.

LCM(5792,5798) = 16791008

LCM of 5792 and 5798

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

LCM of:
and

Least Common Multiple of 5792 and 5798

LCM of 5792 and 5798 is 16791008

Least common multiple can be found by multiplying the highest exponent prime factors of 5792 and 5798. First we will calculate the prime factors of 5792 and 5798.

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 5798


2 5798
13 2899
223 223
1

Prime factors of 5798 are 2, 13,223. Prime factorization of 5798 in exponential form is:

5798 = 21×131×2231

Now multiplying the highest exponent prime factors to calculate the LCM of 5792 and 5798.

LCM(5792,5798) = 25×131×1811×2231
LCM(5792,5798) = 16791008

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 5798

List of positive integer factors of 5798 that divides 5798 without a remainder.

1, 2, 13, 26, 223, 446, 2899, 5798

Least Common Multiple of 5792 and 5798 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 5798, than apply into the LCM equation.

GCF(5792,5798) = 2
LCM(5792,5798) = ( 5792 × 5798) / 2
LCM(5792,5798) = 33582016 / 2
LCM(5792,5798) = 16791008

Properties of LCM 5792 and 5798

(i) The LCM of 5798 and 5792 is associative

LCM of 5792 and 5798 = LCM of 5798 and 5792

Related Least Common Multiples of 5792

Related Least Common Multiples of 5798

Frequently Asked Questions on LCM of 5792 and 5798

1. What is the LCM of 5792 and 5798?

Answer: LCM of 5792 and 5798 is 16791008.

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 5798?

Answer: Factors of 5798 are 1, 2, 13, 26, 223, 446, 2899, 5798. There are 8 integers that are factors of 5798. The greatest factor of 5798 is 5798.

4. How to Find the LCM of 5792 and 5798?

Answer:

Least Common Multiple of 5792 and 5798 = 16791008

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 5798

5798 = 2 x 13 x 223

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

LCM = 16791008 = 2 x 2 x 2 x 2 x 2 x 13 x 181 x 223

Step 4: Therefore, the least common multiple of 5792 and 5798 is 16791008.