Least Common Multiple of 9801 and 9802

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 9802 the smallest integer that is 96069402 that is divisible by both numbers.

Least Common Multiple (LCM) of 9801 and 9802 is 96069402.

LCM(9801,9802) = 96069402

LCM of 9801 and 9802

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

LCM of:
and

Least Common Multiple of 9801 and 9802

LCM of 9801 and 9802 is 96069402

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9802. First we will calculate the prime factors of 9801 and 9802.

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 9802


2 9802
13 4901
13 377
29 29
1

Prime factors of 9802 are 2, 13,29. Prime factorization of 9802 in exponential form is:

9802 = 21×132×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9802.

LCM(9801,9802) = 21×34×112×132×291
LCM(9801,9802) = 96069402

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 9802

List of positive integer factors of 9802 that divides 9802 without a remainder.

1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802

Least Common Multiple of 9801 and 9802 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 9802, than apply into the LCM equation.

GCF(9801,9802) = 1
LCM(9801,9802) = ( 9801 × 9802) / 1
LCM(9801,9802) = 96069402 / 1
LCM(9801,9802) = 96069402

Properties of LCM 9801 and 9802

(i) The LCM of 9802 and 9801 is associative

LCM of 9801 and 9802 = LCM of 9802 and 9801

Related Least Common Multiples of 9801

Related Least Common Multiples of 9802

Frequently Asked Questions on LCM of 9801 and 9802

1. What is the LCM of 9801 and 9802?

Answer: LCM of 9801 and 9802 is 96069402.

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 9802?

Answer: Factors of 9802 are 1, 2, 13, 26, 29, 58, 169, 338, 377, 754, 4901, 9802. There are 12 integers that are factors of 9802. The greatest factor of 9802 is 9802.

4. How to Find the LCM of 9801 and 9802?

Answer:

Least Common Multiple of 9801 and 9802 = 96069402

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 9802

9802 = 2 x 13 x 13 x 29

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

LCM = 96069402 = 2 x 3 x 3 x 3 x 3 x 11 x 11 x 13 x 13 x 29

Step 4: Therefore, the least common multiple of 9801 and 9802 is 96069402.