Least Common Multiple of 9882 and 9890

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9882 and 9890 the smallest integer that is 48866490 that is divisible by both numbers.

Least Common Multiple (LCM) of 9882 and 9890 is 48866490.

LCM(9882,9890) = 48866490

LCM of 9882 and 9890

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

LCM of:
and

Least Common Multiple of 9882 and 9890

LCM of 9882 and 9890 is 48866490

Least common multiple can be found by multiplying the highest exponent prime factors of 9882 and 9890. First we will calculate the prime factors of 9882 and 9890.

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

Prime Factorization of 9890


2 9890
5 4945
23 989
43 43
1

Prime factors of 9890 are 2, 5, 23,43. Prime factorization of 9890 in exponential form is:

9890 = 21×51×231×431

Now multiplying the highest exponent prime factors to calculate the LCM of 9882 and 9890.

LCM(9882,9890) = 21×34×51×231×431×611
LCM(9882,9890) = 48866490

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

Factors of 9890

List of positive integer factors of 9890 that divides 9890 without a remainder.

1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890

Least Common Multiple of 9882 and 9890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9882 and 9890, than apply into the LCM equation.

GCF(9882,9890) = 2
LCM(9882,9890) = ( 9882 × 9890) / 2
LCM(9882,9890) = 97732980 / 2
LCM(9882,9890) = 48866490

Properties of LCM 9882 and 9890

(i) The LCM of 9890 and 9882 is associative

LCM of 9882 and 9890 = LCM of 9890 and 9882

Related Least Common Multiples of 9882

Related Least Common Multiples of 9890

Frequently Asked Questions on LCM of 9882 and 9890

1. What is the LCM of 9882 and 9890?

Answer: LCM of 9882 and 9890 is 48866490.

2. 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.

3. What are the Factors of 9890?

Answer: Factors of 9890 are 1, 2, 5, 10, 23, 43, 46, 86, 115, 215, 230, 430, 989, 1978, 4945, 9890. There are 16 integers that are factors of 9890. The greatest factor of 9890 is 9890.

4. How to Find the LCM of 9882 and 9890?

Answer:

Least Common Multiple of 9882 and 9890 = 48866490

Step 1: Find the prime factorization of 9882

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

Step 2: Find the prime factorization of 9890

9890 = 2 x 5 x 23 x 43

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

LCM = 48866490 = 2 x 3 x 3 x 3 x 3 x 5 x 23 x 43 x 61

Step 4: Therefore, the least common multiple of 9882 and 9890 is 48866490.