Least Common Multiple of 9789 and 9793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9789 and 9793 the smallest integer that is 95863677 that is divisible by both numbers.

Least Common Multiple (LCM) of 9789 and 9793 is 95863677.

LCM(9789,9793) = 95863677

LCM of 9789 and 9793

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

LCM of:
and

Least Common Multiple of 9789 and 9793

LCM of 9789 and 9793 is 95863677

Least common multiple can be found by multiplying the highest exponent prime factors of 9789 and 9793. First we will calculate the prime factors of 9789 and 9793.

Prime Factorization of 9789


3 9789
13 3263
251 251
1

Prime factors of 9789 are 3, 13,251. Prime factorization of 9789 in exponential form is:

9789 = 31×131×2511

Prime Factorization of 9793


7 9793
1399 1399
1

Prime factors of 9793 are 7,1399. Prime factorization of 9793 in exponential form is:

9793 = 71×13991

Now multiplying the highest exponent prime factors to calculate the LCM of 9789 and 9793.

LCM(9789,9793) = 31×71×131×2511×13991
LCM(9789,9793) = 95863677

Factors of 9789

List of positive integer factors of 9789 that divides 9789 without a remainder.

1, 3, 13, 39, 251, 753, 3263, 9789

Factors of 9793

List of positive integer factors of 9793 that divides 9793 without a remainder.

1, 7, 1399, 9793

Least Common Multiple of 9789 and 9793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9789 and 9793, than apply into the LCM equation.

GCF(9789,9793) = 1
LCM(9789,9793) = ( 9789 × 9793) / 1
LCM(9789,9793) = 95863677 / 1
LCM(9789,9793) = 95863677

Properties of LCM 9789 and 9793

(i) The LCM of 9793 and 9789 is associative

LCM of 9789 and 9793 = LCM of 9793 and 9789

Related Least Common Multiples of 9789

Related Least Common Multiples of 9793

Frequently Asked Questions on LCM of 9789 and 9793

1. What is the LCM of 9789 and 9793?

Answer: LCM of 9789 and 9793 is 95863677.

2. What are the Factors of 9789?

Answer: Factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789. There are 8 integers that are factors of 9789. The greatest factor of 9789 is 9789.

3. What are the Factors of 9793?

Answer: Factors of 9793 are 1, 7, 1399, 9793. There are 4 integers that are factors of 9793. The greatest factor of 9793 is 9793.

4. How to Find the LCM of 9789 and 9793?

Answer:

Least Common Multiple of 9789 and 9793 = 95863677

Step 1: Find the prime factorization of 9789

9789 = 3 x 13 x 251

Step 2: Find the prime factorization of 9793

9793 = 7 x 1399

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

LCM = 95863677 = 3 x 7 x 13 x 251 x 1399

Step 4: Therefore, the least common multiple of 9789 and 9793 is 95863677.