Least Common Multiple of 9786 and 9787

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 9787 the smallest integer that is 95775582 that is divisible by both numbers.

Least Common Multiple (LCM) of 9786 and 9787 is 95775582.

LCM(9786,9787) = 95775582

LCM of 9786 and 9787

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

LCM of:
and

Least Common Multiple of 9786 and 9787

LCM of 9786 and 9787 is 95775582

Least common multiple can be found by multiplying the highest exponent prime factors of 9786 and 9787. First we will calculate the prime factors of 9786 and 9787.

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 9787


9787 9787
1

Prime factors of 9787 are 9787. Prime factorization of 9787 in exponential form is:

9787 = 97871

Now multiplying the highest exponent prime factors to calculate the LCM of 9786 and 9787.

LCM(9786,9787) = 21×31×71×2331×97871
LCM(9786,9787) = 95775582

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 9787

List of positive integer factors of 9787 that divides 9787 without a remainder.

1, 9787

Least Common Multiple of 9786 and 9787 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 9787, than apply into the LCM equation.

GCF(9786,9787) = 1
LCM(9786,9787) = ( 9786 × 9787) / 1
LCM(9786,9787) = 95775582 / 1
LCM(9786,9787) = 95775582

Properties of LCM 9786 and 9787

(i) The LCM of 9787 and 9786 is associative

LCM of 9786 and 9787 = LCM of 9787 and 9786

Related Least Common Multiples of 9786

Related Least Common Multiples of 9787

Frequently Asked Questions on LCM of 9786 and 9787

1. What is the LCM of 9786 and 9787?

Answer: LCM of 9786 and 9787 is 95775582.

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 9787?

Answer: Factors of 9787 are 1, 9787. There are 2 integers that are factors of 9787. The greatest factor of 9787 is 9787.

4. How to Find the LCM of 9786 and 9787?

Answer:

Least Common Multiple of 9786 and 9787 = 95775582

Step 1: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

Step 2: Find the prime factorization of 9787

9787 = 9787

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

LCM = 95775582 = 2 x 3 x 7 x 233 x 9787

Step 4: Therefore, the least common multiple of 9786 and 9787 is 95775582.