Least Common Multiple of 9795 and 9801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9795 and 9801 the smallest integer that is 32000265 that is divisible by both numbers.

Least Common Multiple (LCM) of 9795 and 9801 is 32000265.

LCM(9795,9801) = 32000265

LCM of 9795 and 9801

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

LCM of:
and

Least Common Multiple of 9795 and 9801

LCM of 9795 and 9801 is 32000265

Least common multiple can be found by multiplying the highest exponent prime factors of 9795 and 9801. First we will calculate the prime factors of 9795 and 9801.

Prime Factorization of 9795


3 9795
5 3265
653 653
1

Prime factors of 9795 are 3, 5,653. Prime factorization of 9795 in exponential form is:

9795 = 31×51×6531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9795 and 9801.

LCM(9795,9801) = 34×51×112×6531
LCM(9795,9801) = 32000265

Factors of 9795

List of positive integer factors of 9795 that divides 9795 without a remainder.

1, 3, 5, 15, 653, 1959, 3265, 9795

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

Least Common Multiple of 9795 and 9801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9795 and 9801, than apply into the LCM equation.

GCF(9795,9801) = 3
LCM(9795,9801) = ( 9795 × 9801) / 3
LCM(9795,9801) = 96000795 / 3
LCM(9795,9801) = 32000265

Properties of LCM 9795 and 9801

(i) The LCM of 9801 and 9795 is associative

LCM of 9795 and 9801 = LCM of 9801 and 9795

Related Least Common Multiples of 9795

Related Least Common Multiples of 9801

Frequently Asked Questions on LCM of 9795 and 9801

1. What is the LCM of 9795 and 9801?

Answer: LCM of 9795 and 9801 is 32000265.

2. What are the Factors of 9795?

Answer: Factors of 9795 are 1, 3, 5, 15, 653, 1959, 3265, 9795. There are 8 integers that are factors of 9795. The greatest factor of 9795 is 9795.

3. 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.

4. How to Find the LCM of 9795 and 9801?

Answer:

Least Common Multiple of 9795 and 9801 = 32000265

Step 1: Find the prime factorization of 9795

9795 = 3 x 5 x 653

Step 2: Find the prime factorization of 9801

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

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

LCM = 32000265 = 3 x 3 x 3 x 3 x 5 x 11 x 11 x 653

Step 4: Therefore, the least common multiple of 9795 and 9801 is 32000265.