Least Common Multiple of 9846 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 9846 and 9847 the smallest integer that is 96953562 that is divisible by both numbers.

Least Common Multiple (LCM) of 9846 and 9847 is 96953562.

LCM(9846,9847) = 96953562

LCM of 9846 and 9847

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

LCM of:
and

Least Common Multiple of 9846 and 9847

LCM of 9846 and 9847 is 96953562

Least common multiple can be found by multiplying the highest exponent prime factors of 9846 and 9847. First we will calculate the prime factors of 9846 and 9847.

Prime Factorization of 9846


2 9846
3 4923
3 1641
547 547
1

Prime factors of 9846 are 2, 3,547. Prime factorization of 9846 in exponential form is:

9846 = 21×32×5471

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 9846 and 9847.

LCM(9846,9847) = 21×32×431×2291×5471
LCM(9846,9847) = 96953562

Factors of 9846

List of positive integer factors of 9846 that divides 9846 without a remainder.

1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846

Factors of 9847

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

1, 43, 229, 9847

Least Common Multiple of 9846 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 9846 and 9847, than apply into the LCM equation.

GCF(9846,9847) = 1
LCM(9846,9847) = ( 9846 × 9847) / 1
LCM(9846,9847) = 96953562 / 1
LCM(9846,9847) = 96953562

Properties of LCM 9846 and 9847

(i) The LCM of 9847 and 9846 is associative

LCM of 9846 and 9847 = LCM of 9847 and 9846

Related Least Common Multiples of 9846

Related Least Common Multiples of 9847

Frequently Asked Questions on LCM of 9846 and 9847

1. What is the LCM of 9846 and 9847?

Answer: LCM of 9846 and 9847 is 96953562.

2. What are the Factors of 9846?

Answer: Factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846. There are 12 integers that are factors of 9846. The greatest factor of 9846 is 9846.

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 9846 and 9847?

Answer:

Least Common Multiple of 9846 and 9847 = 96953562

Step 1: Find the prime factorization of 9846

9846 = 2 x 3 x 3 x 547

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 = 96953562 = 2 x 3 x 3 x 43 x 229 x 547

Step 4: Therefore, the least common multiple of 9846 and 9847 is 96953562.