Least Common Multiple of 9786 and 9791

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 9791 the smallest integer that is 95814726 that is divisible by both numbers.

Least Common Multiple (LCM) of 9786 and 9791 is 95814726.

LCM(9786,9791) = 95814726

LCM of 9786 and 9791

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

LCM of:
and

Least Common Multiple of 9786 and 9791

LCM of 9786 and 9791 is 95814726

Least common multiple can be found by multiplying the highest exponent prime factors of 9786 and 9791. First we will calculate the prime factors of 9786 and 9791.

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 9791


9791 9791
1

Prime factors of 9791 are 9791. Prime factorization of 9791 in exponential form is:

9791 = 97911

Now multiplying the highest exponent prime factors to calculate the LCM of 9786 and 9791.

LCM(9786,9791) = 21×31×71×2331×97911
LCM(9786,9791) = 95814726

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 9791

List of positive integer factors of 9791 that divides 9791 without a remainder.

1, 9791

Least Common Multiple of 9786 and 9791 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 9791, than apply into the LCM equation.

GCF(9786,9791) = 1
LCM(9786,9791) = ( 9786 × 9791) / 1
LCM(9786,9791) = 95814726 / 1
LCM(9786,9791) = 95814726

Properties of LCM 9786 and 9791

(i) The LCM of 9791 and 9786 is associative

LCM of 9786 and 9791 = LCM of 9791 and 9786

Related Least Common Multiples of 9786

Related Least Common Multiples of 9791

Frequently Asked Questions on LCM of 9786 and 9791

1. What is the LCM of 9786 and 9791?

Answer: LCM of 9786 and 9791 is 95814726.

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 9791?

Answer: Factors of 9791 are 1, 9791. There are 2 integers that are factors of 9791. The greatest factor of 9791 is 9791.

4. How to Find the LCM of 9786 and 9791?

Answer:

Least Common Multiple of 9786 and 9791 = 95814726

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9791

9791 = 9791

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

LCM = 95814726 = 2 x 3 x 7 x 233 x 9791

Step 4: Therefore, the least common multiple of 9786 and 9791 is 95814726.