Least Common Multiple of 9847 and 9852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9847 and 9852 the smallest integer that is 97012644 that is divisible by both numbers.

Least Common Multiple (LCM) of 9847 and 9852 is 97012644.

LCM(9847,9852) = 97012644

LCM of 9847 and 9852

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

LCM of:
and

Least Common Multiple of 9847 and 9852

LCM of 9847 and 9852 is 97012644

Least common multiple can be found by multiplying the highest exponent prime factors of 9847 and 9852. First we will calculate the prime factors of 9847 and 9852.

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

Prime Factorization of 9852


2 9852
2 4926
3 2463
821 821
1

Prime factors of 9852 are 2, 3,821. Prime factorization of 9852 in exponential form is:

9852 = 22×31×8211

Now multiplying the highest exponent prime factors to calculate the LCM of 9847 and 9852.

LCM(9847,9852) = 22×31×431×2291×8211
LCM(9847,9852) = 97012644

Factors of 9847

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

1, 43, 229, 9847

Factors of 9852

List of positive integer factors of 9852 that divides 9852 without a remainder.

1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852

Least Common Multiple of 9847 and 9852 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9847 and 9852, than apply into the LCM equation.

GCF(9847,9852) = 1
LCM(9847,9852) = ( 9847 × 9852) / 1
LCM(9847,9852) = 97012644 / 1
LCM(9847,9852) = 97012644

Properties of LCM 9847 and 9852

(i) The LCM of 9852 and 9847 is associative

LCM of 9847 and 9852 = LCM of 9852 and 9847

Related Least Common Multiples of 9847

Related Least Common Multiples of 9852

Frequently Asked Questions on LCM of 9847 and 9852

1. What is the LCM of 9847 and 9852?

Answer: LCM of 9847 and 9852 is 97012644.

2. 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.

3. What are the Factors of 9852?

Answer: Factors of 9852 are 1, 2, 3, 4, 6, 12, 821, 1642, 2463, 3284, 4926, 9852. There are 12 integers that are factors of 9852. The greatest factor of 9852 is 9852.

4. How to Find the LCM of 9847 and 9852?

Answer:

Least Common Multiple of 9847 and 9852 = 97012644

Step 1: Find the prime factorization of 9847

9847 = 43 x 229

Step 2: Find the prime factorization of 9852

9852 = 2 x 2 x 3 x 821

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

LCM = 97012644 = 2 x 2 x 3 x 43 x 229 x 821

Step 4: Therefore, the least common multiple of 9847 and 9852 is 97012644.