Least Common Multiple of 9852 and 9854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9852 and 9854 the smallest integer that is 48540804 that is divisible by both numbers.

Least Common Multiple (LCM) of 9852 and 9854 is 48540804.

LCM(9852,9854) = 48540804

LCM of 9852 and 9854

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

LCM of:
and

Least Common Multiple of 9852 and 9854

LCM of 9852 and 9854 is 48540804

Least common multiple can be found by multiplying the highest exponent prime factors of 9852 and 9854. First we will calculate the prime factors of 9852 and 9854.

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

Prime Factorization of 9854


2 9854
13 4927
379 379
1

Prime factors of 9854 are 2, 13,379. Prime factorization of 9854 in exponential form is:

9854 = 21×131×3791

Now multiplying the highest exponent prime factors to calculate the LCM of 9852 and 9854.

LCM(9852,9854) = 22×31×131×3791×8211
LCM(9852,9854) = 48540804

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

Factors of 9854

List of positive integer factors of 9854 that divides 9854 without a remainder.

1, 2, 13, 26, 379, 758, 4927, 9854

Least Common Multiple of 9852 and 9854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9852 and 9854, than apply into the LCM equation.

GCF(9852,9854) = 2
LCM(9852,9854) = ( 9852 × 9854) / 2
LCM(9852,9854) = 97081608 / 2
LCM(9852,9854) = 48540804

Properties of LCM 9852 and 9854

(i) The LCM of 9854 and 9852 is associative

LCM of 9852 and 9854 = LCM of 9854 and 9852

Related Least Common Multiples of 9852

Related Least Common Multiples of 9854

Frequently Asked Questions on LCM of 9852 and 9854

1. What is the LCM of 9852 and 9854?

Answer: LCM of 9852 and 9854 is 48540804.

2. 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.

3. What are the Factors of 9854?

Answer: Factors of 9854 are 1, 2, 13, 26, 379, 758, 4927, 9854. There are 8 integers that are factors of 9854. The greatest factor of 9854 is 9854.

4. How to Find the LCM of 9852 and 9854?

Answer:

Least Common Multiple of 9852 and 9854 = 48540804

Step 1: Find the prime factorization of 9852

9852 = 2 x 2 x 3 x 821

Step 2: Find the prime factorization of 9854

9854 = 2 x 13 x 379

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

LCM = 48540804 = 2 x 2 x 3 x 13 x 379 x 821

Step 4: Therefore, the least common multiple of 9852 and 9854 is 48540804.