Least Common Multiple of 9841 and 9847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9841 and 9847 the smallest integer that is 96904327 that is divisible by both numbers.

Least Common Multiple (LCM) of 9841 and 9847 is 96904327.

LCM(9841,9847) = 96904327

LCM of 9841 and 9847

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

LCM of:
and

Least Common Multiple of 9841 and 9847

LCM of 9841 and 9847 is 96904327

Least common multiple can be found by multiplying the highest exponent prime factors of 9841 and 9847. First we will calculate the prime factors of 9841 and 9847.

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

Prime Factorization of 9847


43 9847
229 229
1

Prime factors of 9847 are 43,229. Prime factorization of 9847 in exponential form is:

9847 = 431×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 9841 and 9847.

LCM(9841,9847) = 131×431×2291×7571
LCM(9841,9847) = 96904327

Factors of 9841

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

1, 13, 757, 9841

Factors of 9847

List of positive integer factors of 9847 that divides 9847 without a remainder.

1, 43, 229, 9847

Least Common Multiple of 9841 and 9847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9841 and 9847, than apply into the LCM equation.

GCF(9841,9847) = 1
LCM(9841,9847) = ( 9841 × 9847) / 1
LCM(9841,9847) = 96904327 / 1
LCM(9841,9847) = 96904327

Properties of LCM 9841 and 9847

(i) The LCM of 9847 and 9841 is associative

LCM of 9841 and 9847 = LCM of 9847 and 9841

Related Least Common Multiples of 9841

Related Least Common Multiples of 9847

Frequently Asked Questions on LCM of 9841 and 9847

1. What is the LCM of 9841 and 9847?

Answer: LCM of 9841 and 9847 is 96904327.

2. 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.

3. What are the Factors of 9847?

Answer: Factors of 9847 are 1, 43, 229, 9847. There are 4 integers that are factors of 9847. The greatest factor of 9847 is 9847.

4. How to Find the LCM of 9841 and 9847?

Answer:

Least Common Multiple of 9841 and 9847 = 96904327

Step 1: Find the prime factorization of 9841

9841 = 13 x 757

Step 2: Find the prime factorization of 9847

9847 = 43 x 229

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

LCM = 96904327 = 13 x 43 x 229 x 757

Step 4: Therefore, the least common multiple of 9841 and 9847 is 96904327.