Least Common Multiple of 9889 and 9894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9889 and 9894 the smallest integer that is 97841766 that is divisible by both numbers.

Least Common Multiple (LCM) of 9889 and 9894 is 97841766.

LCM(9889,9894) = 97841766

LCM of 9889 and 9894

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

LCM of:
and

Least Common Multiple of 9889 and 9894

LCM of 9889 and 9894 is 97841766

Least common multiple can be found by multiplying the highest exponent prime factors of 9889 and 9894. First we will calculate the prime factors of 9889 and 9894.

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

Prime Factorization of 9894


2 9894
3 4947
17 1649
97 97
1

Prime factors of 9894 are 2, 3, 17,97. Prime factorization of 9894 in exponential form is:

9894 = 21×31×171×971

Now multiplying the highest exponent prime factors to calculate the LCM of 9889 and 9894.

LCM(9889,9894) = 21×31×111×171×291×311×971
LCM(9889,9894) = 97841766

Factors of 9889

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

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

Factors of 9894

List of positive integer factors of 9894 that divides 9894 without a remainder.

1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894

Least Common Multiple of 9889 and 9894 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9889 and 9894, than apply into the LCM equation.

GCF(9889,9894) = 1
LCM(9889,9894) = ( 9889 × 9894) / 1
LCM(9889,9894) = 97841766 / 1
LCM(9889,9894) = 97841766

Properties of LCM 9889 and 9894

(i) The LCM of 9894 and 9889 is associative

LCM of 9889 and 9894 = LCM of 9894 and 9889

Related Least Common Multiples of 9889

Related Least Common Multiples of 9894

Frequently Asked Questions on LCM of 9889 and 9894

1. What is the LCM of 9889 and 9894?

Answer: LCM of 9889 and 9894 is 97841766.

2. 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.

3. What are the Factors of 9894?

Answer: Factors of 9894 are 1, 2, 3, 6, 17, 34, 51, 97, 102, 194, 291, 582, 1649, 3298, 4947, 9894. There are 16 integers that are factors of 9894. The greatest factor of 9894 is 9894.

4. How to Find the LCM of 9889 and 9894?

Answer:

Least Common Multiple of 9889 and 9894 = 97841766

Step 1: Find the prime factorization of 9889

9889 = 11 x 29 x 31

Step 2: Find the prime factorization of 9894

9894 = 2 x 3 x 17 x 97

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

LCM = 97841766 = 2 x 3 x 11 x 17 x 29 x 31 x 97

Step 4: Therefore, the least common multiple of 9889 and 9894 is 97841766.