Least Common Multiple of 9893 and 9898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9893 and 9898 the smallest integer that is 97920914 that is divisible by both numbers.

Least Common Multiple (LCM) of 9893 and 9898 is 97920914.

LCM(9893,9898) = 97920914

LCM of 9893 and 9898

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

LCM of:
and

Least Common Multiple of 9893 and 9898

LCM of 9893 and 9898 is 97920914

Least common multiple can be found by multiplying the highest exponent prime factors of 9893 and 9898. First we will calculate the prime factors of 9893 and 9898.

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

Prime Factorization of 9898


2 9898
7 4949
7 707
101 101
1

Prime factors of 9898 are 2, 7,101. Prime factorization of 9898 in exponential form is:

9898 = 21×72×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9893 and 9898.

LCM(9893,9898) = 21×72×131×1011×7611
LCM(9893,9898) = 97920914

Factors of 9893

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

1, 13, 761, 9893

Factors of 9898

List of positive integer factors of 9898 that divides 9898 without a remainder.

1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898

Least Common Multiple of 9893 and 9898 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9893 and 9898, than apply into the LCM equation.

GCF(9893,9898) = 1
LCM(9893,9898) = ( 9893 × 9898) / 1
LCM(9893,9898) = 97920914 / 1
LCM(9893,9898) = 97920914

Properties of LCM 9893 and 9898

(i) The LCM of 9898 and 9893 is associative

LCM of 9893 and 9898 = LCM of 9898 and 9893

Related Least Common Multiples of 9893

Related Least Common Multiples of 9898

Frequently Asked Questions on LCM of 9893 and 9898

1. What is the LCM of 9893 and 9898?

Answer: LCM of 9893 and 9898 is 97920914.

2. 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.

3. What are the Factors of 9898?

Answer: Factors of 9898 are 1, 2, 7, 14, 49, 98, 101, 202, 707, 1414, 4949, 9898. There are 12 integers that are factors of 9898. The greatest factor of 9898 is 9898.

4. How to Find the LCM of 9893 and 9898?

Answer:

Least Common Multiple of 9893 and 9898 = 97920914

Step 1: Find the prime factorization of 9893

9893 = 13 x 761

Step 2: Find the prime factorization of 9898

9898 = 2 x 7 x 7 x 101

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

LCM = 97920914 = 2 x 7 x 7 x 13 x 101 x 761

Step 4: Therefore, the least common multiple of 9893 and 9898 is 97920914.