Least Common Multiple of 9886 and 9893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9886 and 9893 the smallest integer that is 97802198 that is divisible by both numbers.

Least Common Multiple (LCM) of 9886 and 9893 is 97802198.

LCM(9886,9893) = 97802198

LCM of 9886 and 9893

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

LCM of:
and

Least Common Multiple of 9886 and 9893

LCM of 9886 and 9893 is 97802198

Least common multiple can be found by multiplying the highest exponent prime factors of 9886 and 9893. First we will calculate the prime factors of 9886 and 9893.

Prime Factorization of 9886


2 9886
4943 4943
1

Prime factors of 9886 are 2,4943. Prime factorization of 9886 in exponential form is:

9886 = 21×49431

Prime Factorization of 9893


13 9893
761 761
1

Prime factors of 9893 are 13,761. Prime factorization of 9893 in exponential form is:

9893 = 131×7611

Now multiplying the highest exponent prime factors to calculate the LCM of 9886 and 9893.

LCM(9886,9893) = 21×131×7611×49431
LCM(9886,9893) = 97802198

Factors of 9886

List of positive integer factors of 9886 that divides 9886 without a remainder.

1, 2, 4943, 9886

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1, 13, 761, 9893

Least Common Multiple of 9886 and 9893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9886 and 9893, than apply into the LCM equation.

GCF(9886,9893) = 1
LCM(9886,9893) = ( 9886 × 9893) / 1
LCM(9886,9893) = 97802198 / 1
LCM(9886,9893) = 97802198

Properties of LCM 9886 and 9893

(i) The LCM of 9893 and 9886 is associative

LCM of 9886 and 9893 = LCM of 9893 and 9886

Related Least Common Multiples of 9886

Related Least Common Multiples of 9893

Frequently Asked Questions on LCM of 9886 and 9893

1. What is the LCM of 9886 and 9893?

Answer: LCM of 9886 and 9893 is 97802198.

2. What are the Factors of 9886?

Answer: Factors of 9886 are 1, 2, 4943, 9886. There are 4 integers that are factors of 9886. The greatest factor of 9886 is 9886.

3. What are the Factors of 9893?

Answer: Factors of 9893 are 1, 13, 761, 9893. There are 4 integers that are factors of 9893. The greatest factor of 9893 is 9893.

4. How to Find the LCM of 9886 and 9893?

Answer:

Least Common Multiple of 9886 and 9893 = 97802198

Step 1: Find the prime factorization of 9886

9886 = 2 x 4943

Step 2: Find the prime factorization of 9893

9893 = 13 x 761

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

LCM = 97802198 = 2 x 13 x 761 x 4943

Step 4: Therefore, the least common multiple of 9886 and 9893 is 97802198.