Least Common Multiple of 9848 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 9848 and 9854 the smallest integer that is 48521096 that is divisible by both numbers.

Least Common Multiple (LCM) of 9848 and 9854 is 48521096.

LCM(9848,9854) = 48521096

LCM of 9848 and 9854

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

LCM of:
and

Least Common Multiple of 9848 and 9854

LCM of 9848 and 9854 is 48521096

Least common multiple can be found by multiplying the highest exponent prime factors of 9848 and 9854. First we will calculate the prime factors of 9848 and 9854.

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 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 9848 and 9854.

LCM(9848,9854) = 23×131×3791×12311
LCM(9848,9854) = 48521096

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 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 9848 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 9848 and 9854, than apply into the LCM equation.

GCF(9848,9854) = 2
LCM(9848,9854) = ( 9848 × 9854) / 2
LCM(9848,9854) = 97042192 / 2
LCM(9848,9854) = 48521096

Properties of LCM 9848 and 9854

(i) The LCM of 9854 and 9848 is associative

LCM of 9848 and 9854 = LCM of 9854 and 9848

Related Least Common Multiples of 9848

Related Least Common Multiples of 9854

Frequently Asked Questions on LCM of 9848 and 9854

1. What is the LCM of 9848 and 9854?

Answer: LCM of 9848 and 9854 is 48521096.

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 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 9848 and 9854?

Answer:

Least Common Multiple of 9848 and 9854 = 48521096

Step 1: Find the prime factorization of 9848

9848 = 2 x 2 x 2 x 1231

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 = 48521096 = 2 x 2 x 2 x 13 x 379 x 1231

Step 4: Therefore, the least common multiple of 9848 and 9854 is 48521096.