Least Common Multiple of 9884 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 9884 and 9890 the smallest integer that is 48876380 that is divisible by both numbers.

Least Common Multiple (LCM) of 9884 and 9890 is 48876380.

LCM(9884,9890) = 48876380

LCM of 9884 and 9890

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

LCM of:
and

Least Common Multiple of 9884 and 9890

LCM of 9884 and 9890 is 48876380

Least common multiple can be found by multiplying the highest exponent prime factors of 9884 and 9890. First we will calculate the prime factors of 9884 and 9890.

Prime Factorization of 9884


2 9884
2 4942
7 2471
353 353
1

Prime factors of 9884 are 2, 7,353. Prime factorization of 9884 in exponential form is:

9884 = 22×71×3531

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 9884 and 9890.

LCM(9884,9890) = 22×51×71×231×431×3531
LCM(9884,9890) = 48876380

Factors of 9884

List of positive integer factors of 9884 that divides 9884 without a remainder.

1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884

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 9884 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 9884 and 9890, than apply into the LCM equation.

GCF(9884,9890) = 2
LCM(9884,9890) = ( 9884 × 9890) / 2
LCM(9884,9890) = 97752760 / 2
LCM(9884,9890) = 48876380

Properties of LCM 9884 and 9890

(i) The LCM of 9890 and 9884 is associative

LCM of 9884 and 9890 = LCM of 9890 and 9884

Related Least Common Multiples of 9884

Related Least Common Multiples of 9890

Frequently Asked Questions on LCM of 9884 and 9890

1. What is the LCM of 9884 and 9890?

Answer: LCM of 9884 and 9890 is 48876380.

2. What are the Factors of 9884?

Answer: Factors of 9884 are 1, 2, 4, 7, 14, 28, 353, 706, 1412, 2471, 4942, 9884. There are 12 integers that are factors of 9884. The greatest factor of 9884 is 9884.

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 9884 and 9890?

Answer:

Least Common Multiple of 9884 and 9890 = 48876380

Step 1: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

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 = 48876380 = 2 x 2 x 5 x 7 x 23 x 43 x 353

Step 4: Therefore, the least common multiple of 9884 and 9890 is 48876380.