Least Common Multiple of 9874 and 9881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9874 and 9881 the smallest integer that is 97564994 that is divisible by both numbers.

Least Common Multiple (LCM) of 9874 and 9881 is 97564994.

LCM(9874,9881) = 97564994

LCM of 9874 and 9881

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

LCM of:
and

Least Common Multiple of 9874 and 9881

LCM of 9874 and 9881 is 97564994

Least common multiple can be found by multiplying the highest exponent prime factors of 9874 and 9881. First we will calculate the prime factors of 9874 and 9881.

Prime Factorization of 9874


2 9874
4937 4937
1

Prime factors of 9874 are 2,4937. Prime factorization of 9874 in exponential form is:

9874 = 21×49371

Prime Factorization of 9881


41 9881
241 241
1

Prime factors of 9881 are 41,241. Prime factorization of 9881 in exponential form is:

9881 = 411×2411

Now multiplying the highest exponent prime factors to calculate the LCM of 9874 and 9881.

LCM(9874,9881) = 21×411×2411×49371
LCM(9874,9881) = 97564994

Factors of 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1, 2, 4937, 9874

Factors of 9881

List of positive integer factors of 9881 that divides 9881 without a remainder.

1, 41, 241, 9881

Least Common Multiple of 9874 and 9881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9874 and 9881, than apply into the LCM equation.

GCF(9874,9881) = 1
LCM(9874,9881) = ( 9874 × 9881) / 1
LCM(9874,9881) = 97564994 / 1
LCM(9874,9881) = 97564994

Properties of LCM 9874 and 9881

(i) The LCM of 9881 and 9874 is associative

LCM of 9874 and 9881 = LCM of 9881 and 9874

Related Least Common Multiples of 9874

Related Least Common Multiples of 9881

Frequently Asked Questions on LCM of 9874 and 9881

1. What is the LCM of 9874 and 9881?

Answer: LCM of 9874 and 9881 is 97564994.

2. What are the Factors of 9874?

Answer: Factors of 9874 are 1, 2, 4937, 9874. There are 4 integers that are factors of 9874. The greatest factor of 9874 is 9874.

3. What are the Factors of 9881?

Answer: Factors of 9881 are 1, 41, 241, 9881. There are 4 integers that are factors of 9881. The greatest factor of 9881 is 9881.

4. How to Find the LCM of 9874 and 9881?

Answer:

Least Common Multiple of 9874 and 9881 = 97564994

Step 1: Find the prime factorization of 9874

9874 = 2 x 4937

Step 2: Find the prime factorization of 9881

9881 = 41 x 241

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

LCM = 97564994 = 2 x 41 x 241 x 4937

Step 4: Therefore, the least common multiple of 9874 and 9881 is 97564994.