Least Common Multiple of 9884 and 9892

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 9892 the smallest integer that is 24443132 that is divisible by both numbers.

Least Common Multiple (LCM) of 9884 and 9892 is 24443132.

LCM(9884,9892) = 24443132

LCM of 9884 and 9892

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

LCM of:
and

Least Common Multiple of 9884 and 9892

LCM of 9884 and 9892 is 24443132

Least common multiple can be found by multiplying the highest exponent prime factors of 9884 and 9892. First we will calculate the prime factors of 9884 and 9892.

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 9892


2 9892
2 4946
2473 2473
1

Prime factors of 9892 are 2,2473. Prime factorization of 9892 in exponential form is:

9892 = 22×24731

Now multiplying the highest exponent prime factors to calculate the LCM of 9884 and 9892.

LCM(9884,9892) = 22×71×3531×24731
LCM(9884,9892) = 24443132

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 9892

List of positive integer factors of 9892 that divides 9892 without a remainder.

1, 2, 4, 2473, 4946, 9892

Least Common Multiple of 9884 and 9892 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 9892, than apply into the LCM equation.

GCF(9884,9892) = 4
LCM(9884,9892) = ( 9884 × 9892) / 4
LCM(9884,9892) = 97772528 / 4
LCM(9884,9892) = 24443132

Properties of LCM 9884 and 9892

(i) The LCM of 9892 and 9884 is associative

LCM of 9884 and 9892 = LCM of 9892 and 9884

Related Least Common Multiples of 9884

Related Least Common Multiples of 9892

Frequently Asked Questions on LCM of 9884 and 9892

1. What is the LCM of 9884 and 9892?

Answer: LCM of 9884 and 9892 is 24443132.

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 9892?

Answer: Factors of 9892 are 1, 2, 4, 2473, 4946, 9892. There are 6 integers that are factors of 9892. The greatest factor of 9892 is 9892.

4. How to Find the LCM of 9884 and 9892?

Answer:

Least Common Multiple of 9884 and 9892 = 24443132

Step 1: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

Step 2: Find the prime factorization of 9892

9892 = 2 x 2 x 2473

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

LCM = 24443132 = 2 x 2 x 7 x 353 x 2473

Step 4: Therefore, the least common multiple of 9884 and 9892 is 24443132.