Least Common Multiple of 9877 and 9884

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9877 and 9884 the smallest integer that is 13946324 that is divisible by both numbers.

Least Common Multiple (LCM) of 9877 and 9884 is 13946324.

LCM(9877,9884) = 13946324

LCM of 9877 and 9884

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

LCM of:
and

Least Common Multiple of 9877 and 9884

LCM of 9877 and 9884 is 13946324

Least common multiple can be found by multiplying the highest exponent prime factors of 9877 and 9884. First we will calculate the prime factors of 9877 and 9884.

Prime Factorization of 9877


7 9877
17 1411
83 83
1

Prime factors of 9877 are 7, 17,83. Prime factorization of 9877 in exponential form is:

9877 = 71×171×831

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9877 and 9884.

LCM(9877,9884) = 22×71×171×831×3531
LCM(9877,9884) = 13946324

Factors of 9877

List of positive integer factors of 9877 that divides 9877 without a remainder.

1, 7, 17, 83, 119, 581, 1411, 9877

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

Least Common Multiple of 9877 and 9884 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9877 and 9884, than apply into the LCM equation.

GCF(9877,9884) = 7
LCM(9877,9884) = ( 9877 × 9884) / 7
LCM(9877,9884) = 97624268 / 7
LCM(9877,9884) = 13946324

Properties of LCM 9877 and 9884

(i) The LCM of 9884 and 9877 is associative

LCM of 9877 and 9884 = LCM of 9884 and 9877

Related Least Common Multiples of 9877

Related Least Common Multiples of 9884

Frequently Asked Questions on LCM of 9877 and 9884

1. What is the LCM of 9877 and 9884?

Answer: LCM of 9877 and 9884 is 13946324.

2. What are the Factors of 9877?

Answer: Factors of 9877 are 1, 7, 17, 83, 119, 581, 1411, 9877. There are 8 integers that are factors of 9877. The greatest factor of 9877 is 9877.

3. 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.

4. How to Find the LCM of 9877 and 9884?

Answer:

Least Common Multiple of 9877 and 9884 = 13946324

Step 1: Find the prime factorization of 9877

9877 = 7 x 17 x 83

Step 2: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

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

LCM = 13946324 = 2 x 2 x 7 x 17 x 83 x 353

Step 4: Therefore, the least common multiple of 9877 and 9884 is 13946324.