Least Common Multiple of 9881 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 9881 and 9888 the smallest integer that is 97703328 that is divisible by both numbers.

Least Common Multiple (LCM) of 9881 and 9888 is 97703328.

LCM(9881,9888) = 97703328

LCM of 9881 and 9888

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

LCM of:
and

Least Common Multiple of 9881 and 9888

LCM of 9881 and 9888 is 97703328

Least common multiple can be found by multiplying the highest exponent prime factors of 9881 and 9888. First we will calculate the prime factors of 9881 and 9888.

Prime Factorization of 9881


41 9881
241 241
1

Prime factors of 9881 are 41,241. Prime factorization of 9881 in exponential form is:

9881 = 411×2411

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 9881 and 9888.

LCM(9881,9888) = 25×31×411×1031×2411
LCM(9881,9888) = 97703328

Factors of 9881

List of positive integer factors of 9881 that divides 9881 without a remainder.

1, 41, 241, 9881

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 9881 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 9881 and 9888, than apply into the LCM equation.

GCF(9881,9888) = 1
LCM(9881,9888) = ( 9881 × 9888) / 1
LCM(9881,9888) = 97703328 / 1
LCM(9881,9888) = 97703328

Properties of LCM 9881 and 9888

(i) The LCM of 9888 and 9881 is associative

LCM of 9881 and 9888 = LCM of 9888 and 9881

Related Least Common Multiples of 9881

Related Least Common Multiples of 9888

Frequently Asked Questions on LCM of 9881 and 9888

1. What is the LCM of 9881 and 9888?

Answer: LCM of 9881 and 9888 is 97703328.

2. What are the Factors of 9881?

Answer: Factors of 9881 are 1, 41, 241, 9881. There are 4 integers that are factors of 9881. The greatest factor of 9881 is 9881.

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 9881 and 9888?

Answer:

Least Common Multiple of 9881 and 9888 = 97703328

Step 1: Find the prime factorization of 9881

9881 = 41 x 241

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 = 97703328 = 2 x 2 x 2 x 2 x 2 x 3 x 41 x 103 x 241

Step 4: Therefore, the least common multiple of 9881 and 9888 is 97703328.