Least Common Multiple of 9801 and 9808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9801 and 9808 the smallest integer that is 96128208 that is divisible by both numbers.

Least Common Multiple (LCM) of 9801 and 9808 is 96128208.

LCM(9801,9808) = 96128208

LCM of 9801 and 9808

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

LCM of:
and

Least Common Multiple of 9801 and 9808

LCM of 9801 and 9808 is 96128208

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9808. First we will calculate the prime factors of 9801 and 9808.

Prime Factorization of 9801


3 9801
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 9801 are 3,11. Prime factorization of 9801 in exponential form is:

9801 = 34×112

Prime Factorization of 9808


2 9808
2 4904
2 2452
2 1226
613 613
1

Prime factors of 9808 are 2,613. Prime factorization of 9808 in exponential form is:

9808 = 24×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9808.

LCM(9801,9808) = 24×34×112×6131
LCM(9801,9808) = 96128208

Factors of 9801

List of positive integer factors of 9801 that divides 9801 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801

Factors of 9808

List of positive integer factors of 9808 that divides 9808 without a remainder.

1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808

Least Common Multiple of 9801 and 9808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9801 and 9808, than apply into the LCM equation.

GCF(9801,9808) = 1
LCM(9801,9808) = ( 9801 × 9808) / 1
LCM(9801,9808) = 96128208 / 1
LCM(9801,9808) = 96128208

Properties of LCM 9801 and 9808

(i) The LCM of 9808 and 9801 is associative

LCM of 9801 and 9808 = LCM of 9808 and 9801

Related Least Common Multiples of 9801

Related Least Common Multiples of 9808

Frequently Asked Questions on LCM of 9801 and 9808

1. What is the LCM of 9801 and 9808?

Answer: LCM of 9801 and 9808 is 96128208.

2. What are the Factors of 9801?

Answer: Factors of 9801 are 1, 3, 9, 11, 27, 33, 81, 99, 121, 297, 363, 891, 1089, 3267, 9801. There are 15 integers that are factors of 9801. The greatest factor of 9801 is 9801.

3. What are the Factors of 9808?

Answer: Factors of 9808 are 1, 2, 4, 8, 16, 613, 1226, 2452, 4904, 9808. There are 10 integers that are factors of 9808. The greatest factor of 9808 is 9808.

4. How to Find the LCM of 9801 and 9808?

Answer:

Least Common Multiple of 9801 and 9808 = 96128208

Step 1: Find the prime factorization of 9801

9801 = 3 x 3 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 9808

9808 = 2 x 2 x 2 x 2 x 613

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

LCM = 96128208 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 11 x 11 x 613

Step 4: Therefore, the least common multiple of 9801 and 9808 is 96128208.