Least Common Multiple of 5790 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 5790 and 5798 the smallest integer that is 16785210 that is divisible by both numbers.

Least Common Multiple (LCM) of 5790 and 5798 is 16785210.

LCM(5790,5798) = 16785210

LCM of 5790 and 5798

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

LCM of:
and

Least Common Multiple of 5790 and 5798

LCM of 5790 and 5798 is 16785210

Least common multiple can be found by multiplying the highest exponent prime factors of 5790 and 5798. First we will calculate the prime factors of 5790 and 5798.

Prime Factorization of 5790


2 5790
3 2895
5 965
193 193
1

Prime factors of 5790 are 2, 3, 5,193. Prime factorization of 5790 in exponential form is:

5790 = 21×31×51×1931

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 5790 and 5798.

LCM(5790,5798) = 21×31×51×131×1931×2231
LCM(5790,5798) = 16785210

Factors of 5790

List of positive integer factors of 5790 that divides 5790 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790

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 5790 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 5790 and 5798, than apply into the LCM equation.

GCF(5790,5798) = 2
LCM(5790,5798) = ( 5790 × 5798) / 2
LCM(5790,5798) = 33570420 / 2
LCM(5790,5798) = 16785210

Properties of LCM 5790 and 5798

(i) The LCM of 5798 and 5790 is associative

LCM of 5790 and 5798 = LCM of 5798 and 5790

Related Least Common Multiples of 5790

Related Least Common Multiples of 5798

Frequently Asked Questions on LCM of 5790 and 5798

1. What is the LCM of 5790 and 5798?

Answer: LCM of 5790 and 5798 is 16785210.

2. What are the Factors of 5790?

Answer: Factors of 5790 are 1, 2, 3, 5, 6, 10, 15, 30, 193, 386, 579, 965, 1158, 1930, 2895, 5790. There are 16 integers that are factors of 5790. The greatest factor of 5790 is 5790.

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 5790 and 5798?

Answer:

Least Common Multiple of 5790 and 5798 = 16785210

Step 1: Find the prime factorization of 5790

5790 = 2 x 3 x 5 x 193

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 = 16785210 = 2 x 3 x 5 x 13 x 193 x 223

Step 4: Therefore, the least common multiple of 5790 and 5798 is 16785210.