Least Common Multiple of 9829 and 9836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9829 and 9836 the smallest integer that is 96678044 that is divisible by both numbers.

Least Common Multiple (LCM) of 9829 and 9836 is 96678044.

LCM(9829,9836) = 96678044

LCM of 9829 and 9836

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

LCM of:
and

Least Common Multiple of 9829 and 9836

LCM of 9829 and 9836 is 96678044

Least common multiple can be found by multiplying the highest exponent prime factors of 9829 and 9836. First we will calculate the prime factors of 9829 and 9836.

Prime Factorization of 9829


9829 9829
1

Prime factors of 9829 are 9829. Prime factorization of 9829 in exponential form is:

9829 = 98291

Prime Factorization of 9836


2 9836
2 4918
2459 2459
1

Prime factors of 9836 are 2,2459. Prime factorization of 9836 in exponential form is:

9836 = 22×24591

Now multiplying the highest exponent prime factors to calculate the LCM of 9829 and 9836.

LCM(9829,9836) = 22×24591×98291
LCM(9829,9836) = 96678044

Factors of 9829

List of positive integer factors of 9829 that divides 9829 without a remainder.

1, 9829

Factors of 9836

List of positive integer factors of 9836 that divides 9836 without a remainder.

1, 2, 4, 2459, 4918, 9836

Least Common Multiple of 9829 and 9836 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9829 and 9836, than apply into the LCM equation.

GCF(9829,9836) = 1
LCM(9829,9836) = ( 9829 × 9836) / 1
LCM(9829,9836) = 96678044 / 1
LCM(9829,9836) = 96678044

Properties of LCM 9829 and 9836

(i) The LCM of 9836 and 9829 is associative

LCM of 9829 and 9836 = LCM of 9836 and 9829

Related Least Common Multiples of 9829

Related Least Common Multiples of 9836

Frequently Asked Questions on LCM of 9829 and 9836

1. What is the LCM of 9829 and 9836?

Answer: LCM of 9829 and 9836 is 96678044.

2. What are the Factors of 9829?

Answer: Factors of 9829 are 1, 9829. There are 2 integers that are factors of 9829. The greatest factor of 9829 is 9829.

3. What are the Factors of 9836?

Answer: Factors of 9836 are 1, 2, 4, 2459, 4918, 9836. There are 6 integers that are factors of 9836. The greatest factor of 9836 is 9836.

4. How to Find the LCM of 9829 and 9836?

Answer:

Least Common Multiple of 9829 and 9836 = 96678044

Step 1: Find the prime factorization of 9829

9829 = 9829

Step 2: Find the prime factorization of 9836

9836 = 2 x 2 x 2459

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

LCM = 96678044 = 2 x 2 x 2459 x 9829

Step 4: Therefore, the least common multiple of 9829 and 9836 is 96678044.