Least Common Multiple of 9801 and 9803

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 9803 the smallest integer that is 96079203 that is divisible by both numbers.

Least Common Multiple (LCM) of 9801 and 9803 is 96079203.

LCM(9801,9803) = 96079203

LCM of 9801 and 9803

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

LCM of:
and

Least Common Multiple of 9801 and 9803

LCM of 9801 and 9803 is 96079203

Least common multiple can be found by multiplying the highest exponent prime factors of 9801 and 9803. First we will calculate the prime factors of 9801 and 9803.

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 9803


9803 9803
1

Prime factors of 9803 are 9803. Prime factorization of 9803 in exponential form is:

9803 = 98031

Now multiplying the highest exponent prime factors to calculate the LCM of 9801 and 9803.

LCM(9801,9803) = 34×112×98031
LCM(9801,9803) = 96079203

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 9803

List of positive integer factors of 9803 that divides 9803 without a remainder.

1, 9803

Least Common Multiple of 9801 and 9803 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 9803, than apply into the LCM equation.

GCF(9801,9803) = 1
LCM(9801,9803) = ( 9801 × 9803) / 1
LCM(9801,9803) = 96079203 / 1
LCM(9801,9803) = 96079203

Properties of LCM 9801 and 9803

(i) The LCM of 9803 and 9801 is associative

LCM of 9801 and 9803 = LCM of 9803 and 9801

Related Least Common Multiples of 9801

Related Least Common Multiples of 9803

Frequently Asked Questions on LCM of 9801 and 9803

1. What is the LCM of 9801 and 9803?

Answer: LCM of 9801 and 9803 is 96079203.

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 9803?

Answer: Factors of 9803 are 1, 9803. There are 2 integers that are factors of 9803. The greatest factor of 9803 is 9803.

4. How to Find the LCM of 9801 and 9803?

Answer:

Least Common Multiple of 9801 and 9803 = 96079203

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 9803

9803 = 9803

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

LCM = 96079203 = 3 x 3 x 3 x 3 x 11 x 11 x 9803

Step 4: Therefore, the least common multiple of 9801 and 9803 is 96079203.