Least Common Multiple of 9846 and 9851

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 9851 the smallest integer that is 96992946 that is divisible by both numbers.

Least Common Multiple (LCM) of 9846 and 9851 is 96992946.

LCM(9846,9851) = 96992946

LCM of 9846 and 9851

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

LCM of:
and

Least Common Multiple of 9846 and 9851

LCM of 9846 and 9851 is 96992946

Least common multiple can be found by multiplying the highest exponent prime factors of 9846 and 9851. First we will calculate the prime factors of 9846 and 9851.

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 9851


9851 9851
1

Prime factors of 9851 are 9851. Prime factorization of 9851 in exponential form is:

9851 = 98511

Now multiplying the highest exponent prime factors to calculate the LCM of 9846 and 9851.

LCM(9846,9851) = 21×32×5471×98511
LCM(9846,9851) = 96992946

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 9851

List of positive integer factors of 9851 that divides 9851 without a remainder.

1, 9851

Least Common Multiple of 9846 and 9851 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 9851, than apply into the LCM equation.

GCF(9846,9851) = 1
LCM(9846,9851) = ( 9846 × 9851) / 1
LCM(9846,9851) = 96992946 / 1
LCM(9846,9851) = 96992946

Properties of LCM 9846 and 9851

(i) The LCM of 9851 and 9846 is associative

LCM of 9846 and 9851 = LCM of 9851 and 9846

Related Least Common Multiples of 9846

Related Least Common Multiples of 9851

Frequently Asked Questions on LCM of 9846 and 9851

1. What is the LCM of 9846 and 9851?

Answer: LCM of 9846 and 9851 is 96992946.

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 9851?

Answer: Factors of 9851 are 1, 9851. There are 2 integers that are factors of 9851. The greatest factor of 9851 is 9851.

4. How to Find the LCM of 9846 and 9851?

Answer:

Least Common Multiple of 9846 and 9851 = 96992946

Step 1: Find the prime factorization of 9846

9846 = 2 x 3 x 3 x 547

Step 2: Find the prime factorization of 9851

9851 = 9851

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

LCM = 96992946 = 2 x 3 x 3 x 547 x 9851

Step 4: Therefore, the least common multiple of 9846 and 9851 is 96992946.