Least Common Multiple of 9789 and 9796

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 9796 the smallest integer that is 95893044 that is divisible by both numbers.

Least Common Multiple (LCM) of 9789 and 9796 is 95893044.

LCM(9789,9796) = 95893044

LCM of 9789 and 9796

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

LCM of:
and

Least Common Multiple of 9789 and 9796

LCM of 9789 and 9796 is 95893044

Least common multiple can be found by multiplying the highest exponent prime factors of 9789 and 9796. First we will calculate the prime factors of 9789 and 9796.

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 9796


2 9796
2 4898
31 2449
79 79
1

Prime factors of 9796 are 2, 31,79. Prime factorization of 9796 in exponential form is:

9796 = 22×311×791

Now multiplying the highest exponent prime factors to calculate the LCM of 9789 and 9796.

LCM(9789,9796) = 22×31×131×311×791×2511
LCM(9789,9796) = 95893044

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 9796

List of positive integer factors of 9796 that divides 9796 without a remainder.

1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796

Least Common Multiple of 9789 and 9796 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 9796, than apply into the LCM equation.

GCF(9789,9796) = 1
LCM(9789,9796) = ( 9789 × 9796) / 1
LCM(9789,9796) = 95893044 / 1
LCM(9789,9796) = 95893044

Properties of LCM 9789 and 9796

(i) The LCM of 9796 and 9789 is associative

LCM of 9789 and 9796 = LCM of 9796 and 9789

Related Least Common Multiples of 9789

Related Least Common Multiples of 9796

Frequently Asked Questions on LCM of 9789 and 9796

1. What is the LCM of 9789 and 9796?

Answer: LCM of 9789 and 9796 is 95893044.

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 9796?

Answer: Factors of 9796 are 1, 2, 4, 31, 62, 79, 124, 158, 316, 2449, 4898, 9796. There are 12 integers that are factors of 9796. The greatest factor of 9796 is 9796.

4. How to Find the LCM of 9789 and 9796?

Answer:

Least Common Multiple of 9789 and 9796 = 95893044

Step 1: Find the prime factorization of 9789

9789 = 3 x 13 x 251

Step 2: Find the prime factorization of 9796

9796 = 2 x 2 x 31 x 79

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

LCM = 95893044 = 2 x 2 x 3 x 13 x 31 x 79 x 251

Step 4: Therefore, the least common multiple of 9789 and 9796 is 95893044.