Least Common Multiple of 9852 and 9858

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 9858 the smallest integer that is 16186836 that is divisible by both numbers.

Least Common Multiple (LCM) of 9852 and 9858 is 16186836.

LCM(9852,9858) = 16186836

LCM of 9852 and 9858

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

LCM of:
and

Least Common Multiple of 9852 and 9858

LCM of 9852 and 9858 is 16186836

Least common multiple can be found by multiplying the highest exponent prime factors of 9852 and 9858. First we will calculate the prime factors of 9852 and 9858.

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 9858


2 9858
3 4929
31 1643
53 53
1

Prime factors of 9858 are 2, 3, 31,53. Prime factorization of 9858 in exponential form is:

9858 = 21×31×311×531

Now multiplying the highest exponent prime factors to calculate the LCM of 9852 and 9858.

LCM(9852,9858) = 22×31×311×531×8211
LCM(9852,9858) = 16186836

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 9858

List of positive integer factors of 9858 that divides 9858 without a remainder.

1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858

Least Common Multiple of 9852 and 9858 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 9858, than apply into the LCM equation.

GCF(9852,9858) = 6
LCM(9852,9858) = ( 9852 × 9858) / 6
LCM(9852,9858) = 97121016 / 6
LCM(9852,9858) = 16186836

Properties of LCM 9852 and 9858

(i) The LCM of 9858 and 9852 is associative

LCM of 9852 and 9858 = LCM of 9858 and 9852

Related Least Common Multiples of 9852

Related Least Common Multiples of 9858

Frequently Asked Questions on LCM of 9852 and 9858

1. What is the LCM of 9852 and 9858?

Answer: LCM of 9852 and 9858 is 16186836.

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 9858?

Answer: Factors of 9858 are 1, 2, 3, 6, 31, 53, 62, 93, 106, 159, 186, 318, 1643, 3286, 4929, 9858. There are 16 integers that are factors of 9858. The greatest factor of 9858 is 9858.

4. How to Find the LCM of 9852 and 9858?

Answer:

Least Common Multiple of 9852 and 9858 = 16186836

Step 1: Find the prime factorization of 9852

9852 = 2 x 2 x 3 x 821

Step 2: Find the prime factorization of 9858

9858 = 2 x 3 x 31 x 53

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

LCM = 16186836 = 2 x 2 x 3 x 31 x 53 x 821

Step 4: Therefore, the least common multiple of 9852 and 9858 is 16186836.