Least Common Multiple of 9848 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 9848 and 9852 the smallest integer that is 24255624 that is divisible by both numbers.

Least Common Multiple (LCM) of 9848 and 9852 is 24255624.

LCM(9848,9852) = 24255624

LCM of 9848 and 9852

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

LCM of:
and

Least Common Multiple of 9848 and 9852

LCM of 9848 and 9852 is 24255624

Least common multiple can be found by multiplying the highest exponent prime factors of 9848 and 9852. First we will calculate the prime factors of 9848 and 9852.

Prime Factorization of 9848


2 9848
2 4924
2 2462
1231 1231
1

Prime factors of 9848 are 2,1231. Prime factorization of 9848 in exponential form is:

9848 = 23×12311

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 9848 and 9852.

LCM(9848,9852) = 23×31×8211×12311
LCM(9848,9852) = 24255624

Factors of 9848

List of positive integer factors of 9848 that divides 9848 without a remainder.

1, 2, 4, 8, 1231, 2462, 4924, 9848

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 9848 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 9848 and 9852, than apply into the LCM equation.

GCF(9848,9852) = 4
LCM(9848,9852) = ( 9848 × 9852) / 4
LCM(9848,9852) = 97022496 / 4
LCM(9848,9852) = 24255624

Properties of LCM 9848 and 9852

(i) The LCM of 9852 and 9848 is associative

LCM of 9848 and 9852 = LCM of 9852 and 9848

Related Least Common Multiples of 9848

Related Least Common Multiples of 9852

Frequently Asked Questions on LCM of 9848 and 9852

1. What is the LCM of 9848 and 9852?

Answer: LCM of 9848 and 9852 is 24255624.

2. What are the Factors of 9848?

Answer: Factors of 9848 are 1, 2, 4, 8, 1231, 2462, 4924, 9848. There are 8 integers that are factors of 9848. The greatest factor of 9848 is 9848.

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 9848 and 9852?

Answer:

Least Common Multiple of 9848 and 9852 = 24255624

Step 1: Find the prime factorization of 9848

9848 = 2 x 2 x 2 x 1231

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 = 24255624 = 2 x 2 x 2 x 3 x 821 x 1231

Step 4: Therefore, the least common multiple of 9848 and 9852 is 24255624.