Least Common Multiple of 9826 and 9830

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9826 and 9830 the smallest integer that is 48294790 that is divisible by both numbers.

Least Common Multiple (LCM) of 9826 and 9830 is 48294790.

LCM(9826,9830) = 48294790

LCM of 9826 and 9830

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

LCM of:
and

Least Common Multiple of 9826 and 9830

LCM of 9826 and 9830 is 48294790

Least common multiple can be found by multiplying the highest exponent prime factors of 9826 and 9830. First we will calculate the prime factors of 9826 and 9830.

Prime Factorization of 9826


2 9826
17 4913
17 289
17 17
1

Prime factors of 9826 are 2,17. Prime factorization of 9826 in exponential form is:

9826 = 21×173

Prime Factorization of 9830


2 9830
5 4915
983 983
1

Prime factors of 9830 are 2, 5,983. Prime factorization of 9830 in exponential form is:

9830 = 21×51×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 9826 and 9830.

LCM(9826,9830) = 21×51×173×9831
LCM(9826,9830) = 48294790

Factors of 9826

List of positive integer factors of 9826 that divides 9826 without a remainder.

1, 2, 17, 34, 289, 578, 4913, 9826

Factors of 9830

List of positive integer factors of 9830 that divides 9830 without a remainder.

1, 2, 5, 10, 983, 1966, 4915, 9830

Least Common Multiple of 9826 and 9830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9826 and 9830, than apply into the LCM equation.

GCF(9826,9830) = 2
LCM(9826,9830) = ( 9826 × 9830) / 2
LCM(9826,9830) = 96589580 / 2
LCM(9826,9830) = 48294790

Properties of LCM 9826 and 9830

(i) The LCM of 9830 and 9826 is associative

LCM of 9826 and 9830 = LCM of 9830 and 9826

Related Least Common Multiples of 9826

Related Least Common Multiples of 9830

Frequently Asked Questions on LCM of 9826 and 9830

1. What is the LCM of 9826 and 9830?

Answer: LCM of 9826 and 9830 is 48294790.

2. What are the Factors of 9826?

Answer: Factors of 9826 are 1, 2, 17, 34, 289, 578, 4913, 9826. There are 8 integers that are factors of 9826. The greatest factor of 9826 is 9826.

3. What are the Factors of 9830?

Answer: Factors of 9830 are 1, 2, 5, 10, 983, 1966, 4915, 9830. There are 8 integers that are factors of 9830. The greatest factor of 9830 is 9830.

4. How to Find the LCM of 9826 and 9830?

Answer:

Least Common Multiple of 9826 and 9830 = 48294790

Step 1: Find the prime factorization of 9826

9826 = 2 x 17 x 17 x 17

Step 2: Find the prime factorization of 9830

9830 = 2 x 5 x 983

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

LCM = 48294790 = 2 x 5 x 17 x 17 x 17 x 983

Step 4: Therefore, the least common multiple of 9826 and 9830 is 48294790.