Least Common Multiple of 9874 and 9882

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 9882 the smallest integer that is 48787434 that is divisible by both numbers.

Least Common Multiple (LCM) of 9874 and 9882 is 48787434.

LCM(9874,9882) = 48787434

LCM of 9874 and 9882

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

LCM of:
and

Least Common Multiple of 9874 and 9882

LCM of 9874 and 9882 is 48787434

Least common multiple can be found by multiplying the highest exponent prime factors of 9874 and 9882. First we will calculate the prime factors of 9874 and 9882.

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 9882


2 9882
3 4941
3 1647
3 549
3 183
61 61
1

Prime factors of 9882 are 2, 3,61. Prime factorization of 9882 in exponential form is:

9882 = 21×34×611

Now multiplying the highest exponent prime factors to calculate the LCM of 9874 and 9882.

LCM(9874,9882) = 21×34×611×49371
LCM(9874,9882) = 48787434

Factors of 9874

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

1, 2, 4937, 9874

Factors of 9882

List of positive integer factors of 9882 that divides 9882 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882

Least Common Multiple of 9874 and 9882 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 9882, than apply into the LCM equation.

GCF(9874,9882) = 2
LCM(9874,9882) = ( 9874 × 9882) / 2
LCM(9874,9882) = 97574868 / 2
LCM(9874,9882) = 48787434

Properties of LCM 9874 and 9882

(i) The LCM of 9882 and 9874 is associative

LCM of 9874 and 9882 = LCM of 9882 and 9874

Related Least Common Multiples of 9874

Related Least Common Multiples of 9882

Frequently Asked Questions on LCM of 9874 and 9882

1. What is the LCM of 9874 and 9882?

Answer: LCM of 9874 and 9882 is 48787434.

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 9882?

Answer: Factors of 9882 are 1, 2, 3, 6, 9, 18, 27, 54, 61, 81, 122, 162, 183, 366, 549, 1098, 1647, 3294, 4941, 9882. There are 20 integers that are factors of 9882. The greatest factor of 9882 is 9882.

4. How to Find the LCM of 9874 and 9882?

Answer:

Least Common Multiple of 9874 and 9882 = 48787434

Step 1: Find the prime factorization of 9874

9874 = 2 x 4937

Step 2: Find the prime factorization of 9882

9882 = 2 x 3 x 3 x 3 x 3 x 61

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

LCM = 48787434 = 2 x 3 x 3 x 3 x 3 x 61 x 4937

Step 4: Therefore, the least common multiple of 9874 and 9882 is 48787434.