Least Common Multiple of 9883 and 9889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9883 and 9889 the smallest integer that is 97732987 that is divisible by both numbers.

Least Common Multiple (LCM) of 9883 and 9889 is 97732987.

LCM(9883,9889) = 97732987

LCM of 9883 and 9889

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

LCM of:
and

Least Common Multiple of 9883 and 9889

LCM of 9883 and 9889 is 97732987

Least common multiple can be found by multiplying the highest exponent prime factors of 9883 and 9889. First we will calculate the prime factors of 9883 and 9889.

Prime Factorization of 9883


9883 9883
1

Prime factors of 9883 are 9883. Prime factorization of 9883 in exponential form is:

9883 = 98831

Prime Factorization of 9889


11 9889
29 899
31 31
1

Prime factors of 9889 are 11, 29,31. Prime factorization of 9889 in exponential form is:

9889 = 111×291×311

Now multiplying the highest exponent prime factors to calculate the LCM of 9883 and 9889.

LCM(9883,9889) = 111×291×311×98831
LCM(9883,9889) = 97732987

Factors of 9883

List of positive integer factors of 9883 that divides 9883 without a remainder.

1, 9883

Factors of 9889

List of positive integer factors of 9889 that divides 9889 without a remainder.

1, 11, 29, 31, 319, 341, 899, 9889

Least Common Multiple of 9883 and 9889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9883 and 9889, than apply into the LCM equation.

GCF(9883,9889) = 1
LCM(9883,9889) = ( 9883 × 9889) / 1
LCM(9883,9889) = 97732987 / 1
LCM(9883,9889) = 97732987

Properties of LCM 9883 and 9889

(i) The LCM of 9889 and 9883 is associative

LCM of 9883 and 9889 = LCM of 9889 and 9883

Related Least Common Multiples of 9883

Related Least Common Multiples of 9889

Frequently Asked Questions on LCM of 9883 and 9889

1. What is the LCM of 9883 and 9889?

Answer: LCM of 9883 and 9889 is 97732987.

2. What are the Factors of 9883?

Answer: Factors of 9883 are 1, 9883. There are 2 integers that are factors of 9883. The greatest factor of 9883 is 9883.

3. What are the Factors of 9889?

Answer: Factors of 9889 are 1, 11, 29, 31, 319, 341, 899, 9889. There are 8 integers that are factors of 9889. The greatest factor of 9889 is 9889.

4. How to Find the LCM of 9883 and 9889?

Answer:

Least Common Multiple of 9883 and 9889 = 97732987

Step 1: Find the prime factorization of 9883

9883 = 9883

Step 2: Find the prime factorization of 9889

9889 = 11 x 29 x 31

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

LCM = 97732987 = 11 x 29 x 31 x 9883

Step 4: Therefore, the least common multiple of 9883 and 9889 is 97732987.