Least Common Multiple of 9836 and 9841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9836 and 9841 the smallest integer that is 96796076 that is divisible by both numbers.

Least Common Multiple (LCM) of 9836 and 9841 is 96796076.

LCM(9836,9841) = 96796076

LCM of 9836 and 9841

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

LCM of:
and

Least Common Multiple of 9836 and 9841

LCM of 9836 and 9841 is 96796076

Least common multiple can be found by multiplying the highest exponent prime factors of 9836 and 9841. First we will calculate the prime factors of 9836 and 9841.

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

Prime Factorization of 9841


13 9841
757 757
1

Prime factors of 9841 are 13,757. Prime factorization of 9841 in exponential form is:

9841 = 131×7571

Now multiplying the highest exponent prime factors to calculate the LCM of 9836 and 9841.

LCM(9836,9841) = 22×131×7571×24591
LCM(9836,9841) = 96796076

Factors of 9836

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

1, 2, 4, 2459, 4918, 9836

Factors of 9841

List of positive integer factors of 9841 that divides 9841 without a remainder.

1, 13, 757, 9841

Least Common Multiple of 9836 and 9841 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9836 and 9841, than apply into the LCM equation.

GCF(9836,9841) = 1
LCM(9836,9841) = ( 9836 × 9841) / 1
LCM(9836,9841) = 96796076 / 1
LCM(9836,9841) = 96796076

Properties of LCM 9836 and 9841

(i) The LCM of 9841 and 9836 is associative

LCM of 9836 and 9841 = LCM of 9841 and 9836

Related Least Common Multiples of 9836

Related Least Common Multiples of 9841

Frequently Asked Questions on LCM of 9836 and 9841

1. What is the LCM of 9836 and 9841?

Answer: LCM of 9836 and 9841 is 96796076.

2. 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.

3. What are the Factors of 9841?

Answer: Factors of 9841 are 1, 13, 757, 9841. There are 4 integers that are factors of 9841. The greatest factor of 9841 is 9841.

4. How to Find the LCM of 9836 and 9841?

Answer:

Least Common Multiple of 9836 and 9841 = 96796076

Step 1: Find the prime factorization of 9836

9836 = 2 x 2 x 2459

Step 2: Find the prime factorization of 9841

9841 = 13 x 757

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

LCM = 96796076 = 2 x 2 x 13 x 757 x 2459

Step 4: Therefore, the least common multiple of 9836 and 9841 is 96796076.