Least Common Multiple of 9786 and 9789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9786 and 9789 the smallest integer that is 31931718 that is divisible by both numbers.

Least Common Multiple (LCM) of 9786 and 9789 is 31931718.

LCM(9786,9789) = 31931718

LCM of 9786 and 9789

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

LCM of:
and

Least Common Multiple of 9786 and 9789

LCM of 9786 and 9789 is 31931718

Least common multiple can be found by multiplying the highest exponent prime factors of 9786 and 9789. First we will calculate the prime factors of 9786 and 9789.

Prime Factorization of 9786


2 9786
3 4893
7 1631
233 233
1

Prime factors of 9786 are 2, 3, 7,233. Prime factorization of 9786 in exponential form is:

9786 = 21×31×71×2331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9786 and 9789.

LCM(9786,9789) = 21×31×71×131×2331×2511
LCM(9786,9789) = 31931718

Factors of 9786

List of positive integer factors of 9786 that divides 9786 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786

Factors of 9789

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

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

Least Common Multiple of 9786 and 9789 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9786 and 9789, than apply into the LCM equation.

GCF(9786,9789) = 3
LCM(9786,9789) = ( 9786 × 9789) / 3
LCM(9786,9789) = 95795154 / 3
LCM(9786,9789) = 31931718

Properties of LCM 9786 and 9789

(i) The LCM of 9789 and 9786 is associative

LCM of 9786 and 9789 = LCM of 9789 and 9786

Related Least Common Multiples of 9786

Related Least Common Multiples of 9789

Frequently Asked Questions on LCM of 9786 and 9789

1. What is the LCM of 9786 and 9789?

Answer: LCM of 9786 and 9789 is 31931718.

2. What are the Factors of 9786?

Answer: Factors of 9786 are 1, 2, 3, 6, 7, 14, 21, 42, 233, 466, 699, 1398, 1631, 3262, 4893, 9786. There are 16 integers that are factors of 9786. The greatest factor of 9786 is 9786.

3. 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.

4. How to Find the LCM of 9786 and 9789?

Answer:

Least Common Multiple of 9786 and 9789 = 31931718

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9789

9789 = 3 x 13 x 251

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

LCM = 31931718 = 2 x 3 x 7 x 13 x 233 x 251

Step 4: Therefore, the least common multiple of 9786 and 9789 is 31931718.