Least Common Multiple of 9884 and 9888

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 9888 the smallest integer that is 24433248 that is divisible by both numbers.

Least Common Multiple (LCM) of 9884 and 9888 is 24433248.

LCM(9884,9888) = 24433248

LCM of 9884 and 9888

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

LCM of:
and

Least Common Multiple of 9884 and 9888

LCM of 9884 and 9888 is 24433248

Least common multiple can be found by multiplying the highest exponent prime factors of 9884 and 9888. First we will calculate the prime factors of 9884 and 9888.

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 9888


2 9888
2 4944
2 2472
2 1236
2 618
3 309
103 103
1

Prime factors of 9888 are 2, 3,103. Prime factorization of 9888 in exponential form is:

9888 = 25×31×1031

Now multiplying the highest exponent prime factors to calculate the LCM of 9884 and 9888.

LCM(9884,9888) = 25×31×71×1031×3531
LCM(9884,9888) = 24433248

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 9888

List of positive integer factors of 9888 that divides 9888 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888

Least Common Multiple of 9884 and 9888 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 9888, than apply into the LCM equation.

GCF(9884,9888) = 4
LCM(9884,9888) = ( 9884 × 9888) / 4
LCM(9884,9888) = 97732992 / 4
LCM(9884,9888) = 24433248

Properties of LCM 9884 and 9888

(i) The LCM of 9888 and 9884 is associative

LCM of 9884 and 9888 = LCM of 9888 and 9884

Related Least Common Multiples of 9884

Related Least Common Multiples of 9888

Frequently Asked Questions on LCM of 9884 and 9888

1. What is the LCM of 9884 and 9888?

Answer: LCM of 9884 and 9888 is 24433248.

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 9888?

Answer: Factors of 9888 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 103, 206, 309, 412, 618, 824, 1236, 1648, 2472, 3296, 4944, 9888. There are 24 integers that are factors of 9888. The greatest factor of 9888 is 9888.

4. How to Find the LCM of 9884 and 9888?

Answer:

Least Common Multiple of 9884 and 9888 = 24433248

Step 1: Find the prime factorization of 9884

9884 = 2 x 2 x 7 x 353

Step 2: Find the prime factorization of 9888

9888 = 2 x 2 x 2 x 2 x 2 x 3 x 103

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

LCM = 24433248 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 103 x 353

Step 4: Therefore, the least common multiple of 9884 and 9888 is 24433248.