Least Common Multiple of 5798 and 5802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5798 and 5802 the smallest integer that is 16819998 that is divisible by both numbers.

Least Common Multiple (LCM) of 5798 and 5802 is 16819998.

LCM(5798,5802) = 16819998

LCM of 5798 and 5802

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

LCM of:
and

Least Common Multiple of 5798 and 5802

LCM of 5798 and 5802 is 16819998

Least common multiple can be found by multiplying the highest exponent prime factors of 5798 and 5802. First we will calculate the prime factors of 5798 and 5802.

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

Prime Factorization of 5802


2 5802
3 2901
967 967
1

Prime factors of 5802 are 2, 3,967. Prime factorization of 5802 in exponential form is:

5802 = 21×31×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 5798 and 5802.

LCM(5798,5802) = 21×31×131×2231×9671
LCM(5798,5802) = 16819998

Factors of 5798

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

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

Factors of 5802

List of positive integer factors of 5802 that divides 5802 without a remainder.

1, 2, 3, 6, 967, 1934, 2901, 5802

Least Common Multiple of 5798 and 5802 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5798 and 5802, than apply into the LCM equation.

GCF(5798,5802) = 2
LCM(5798,5802) = ( 5798 × 5802) / 2
LCM(5798,5802) = 33639996 / 2
LCM(5798,5802) = 16819998

Properties of LCM 5798 and 5802

(i) The LCM of 5802 and 5798 is associative

LCM of 5798 and 5802 = LCM of 5802 and 5798

Related Least Common Multiples of 5798

Related Least Common Multiples of 5802

Frequently Asked Questions on LCM of 5798 and 5802

1. What is the LCM of 5798 and 5802?

Answer: LCM of 5798 and 5802 is 16819998.

2. 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.

3. What are the Factors of 5802?

Answer: Factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802. There are 8 integers that are factors of 5802. The greatest factor of 5802 is 5802.

4. How to Find the LCM of 5798 and 5802?

Answer:

Least Common Multiple of 5798 and 5802 = 16819998

Step 1: Find the prime factorization of 5798

5798 = 2 x 13 x 223

Step 2: Find the prime factorization of 5802

5802 = 2 x 3 x 967

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

LCM = 16819998 = 2 x 3 x 13 x 223 x 967

Step 4: Therefore, the least common multiple of 5798 and 5802 is 16819998.