Least Common Multiple of 5818 and 5826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5818 and 5826 the smallest integer that is 16947834 that is divisible by both numbers.

Least Common Multiple (LCM) of 5818 and 5826 is 16947834.

LCM(5818,5826) = 16947834

LCM of 5818 and 5826

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

LCM of:
and

Least Common Multiple of 5818 and 5826

LCM of 5818 and 5826 is 16947834

Least common multiple can be found by multiplying the highest exponent prime factors of 5818 and 5826. First we will calculate the prime factors of 5818 and 5826.

Prime Factorization of 5818


2 5818
2909 2909
1

Prime factors of 5818 are 2,2909. Prime factorization of 5818 in exponential form is:

5818 = 21×29091

Prime Factorization of 5826


2 5826
3 2913
971 971
1

Prime factors of 5826 are 2, 3,971. Prime factorization of 5826 in exponential form is:

5826 = 21×31×9711

Now multiplying the highest exponent prime factors to calculate the LCM of 5818 and 5826.

LCM(5818,5826) = 21×31×9711×29091
LCM(5818,5826) = 16947834

Factors of 5818

List of positive integer factors of 5818 that divides 5818 without a remainder.

1, 2, 2909, 5818

Factors of 5826

List of positive integer factors of 5826 that divides 5826 without a remainder.

1, 2, 3, 6, 971, 1942, 2913, 5826

Least Common Multiple of 5818 and 5826 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5818 and 5826, than apply into the LCM equation.

GCF(5818,5826) = 2
LCM(5818,5826) = ( 5818 × 5826) / 2
LCM(5818,5826) = 33895668 / 2
LCM(5818,5826) = 16947834

Properties of LCM 5818 and 5826

(i) The LCM of 5826 and 5818 is associative

LCM of 5818 and 5826 = LCM of 5826 and 5818

Related Least Common Multiples of 5818

Related Least Common Multiples of 5826

Frequently Asked Questions on LCM of 5818 and 5826

1. What is the LCM of 5818 and 5826?

Answer: LCM of 5818 and 5826 is 16947834.

2. What are the Factors of 5818?

Answer: Factors of 5818 are 1, 2, 2909, 5818. There are 4 integers that are factors of 5818. The greatest factor of 5818 is 5818.

3. What are the Factors of 5826?

Answer: Factors of 5826 are 1, 2, 3, 6, 971, 1942, 2913, 5826. There are 8 integers that are factors of 5826. The greatest factor of 5826 is 5826.

4. How to Find the LCM of 5818 and 5826?

Answer:

Least Common Multiple of 5818 and 5826 = 16947834

Step 1: Find the prime factorization of 5818

5818 = 2 x 2909

Step 2: Find the prime factorization of 5826

5826 = 2 x 3 x 971

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

LCM = 16947834 = 2 x 3 x 971 x 2909

Step 4: Therefore, the least common multiple of 5818 and 5826 is 16947834.