Least Common Multiple of 9898 and 9905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9898 and 9905 the smallest integer that is 14005670 that is divisible by both numbers.

Least Common Multiple (LCM) of 9898 and 9905 is 14005670.

LCM(9898,9905) = 14005670

LCM of 9898 and 9905

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

LCM of:
and

Least Common Multiple of 9898 and 9905

LCM of 9898 and 9905 is 14005670

Least common multiple can be found by multiplying the highest exponent prime factors of 9898 and 9905. First we will calculate the prime factors of 9898 and 9905.

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

Prime Factorization of 9905


5 9905
7 1981
283 283
1

Prime factors of 9905 are 5, 7,283. Prime factorization of 9905 in exponential form is:

9905 = 51×71×2831

Now multiplying the highest exponent prime factors to calculate the LCM of 9898 and 9905.

LCM(9898,9905) = 21×51×72×1011×2831
LCM(9898,9905) = 14005670

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

Factors of 9905

List of positive integer factors of 9905 that divides 9905 without a remainder.

1, 5, 7, 35, 283, 1415, 1981, 9905

Least Common Multiple of 9898 and 9905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9898 and 9905, than apply into the LCM equation.

GCF(9898,9905) = 7
LCM(9898,9905) = ( 9898 × 9905) / 7
LCM(9898,9905) = 98039690 / 7
LCM(9898,9905) = 14005670

Properties of LCM 9898 and 9905

(i) The LCM of 9905 and 9898 is associative

LCM of 9898 and 9905 = LCM of 9905 and 9898

Related Least Common Multiples of 9898

Related Least Common Multiples of 9905

Frequently Asked Questions on LCM of 9898 and 9905

1. What is the LCM of 9898 and 9905?

Answer: LCM of 9898 and 9905 is 14005670.

2. 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.

3. What are the Factors of 9905?

Answer: Factors of 9905 are 1, 5, 7, 35, 283, 1415, 1981, 9905. There are 8 integers that are factors of 9905. The greatest factor of 9905 is 9905.

4. How to Find the LCM of 9898 and 9905?

Answer:

Least Common Multiple of 9898 and 9905 = 14005670

Step 1: Find the prime factorization of 9898

9898 = 2 x 7 x 7 x 101

Step 2: Find the prime factorization of 9905

9905 = 5 x 7 x 283

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

LCM = 14005670 = 2 x 5 x 7 x 7 x 101 x 283

Step 4: Therefore, the least common multiple of 9898 and 9905 is 14005670.