Least Common Multiple of 9783 and 9786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9783 and 9786 the smallest integer that is 31912146 that is divisible by both numbers.

Least Common Multiple (LCM) of 9783 and 9786 is 31912146.

LCM(9783,9786) = 31912146

LCM of 9783 and 9786

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

LCM of:
and

Least Common Multiple of 9783 and 9786

LCM of 9783 and 9786 is 31912146

Least common multiple can be found by multiplying the highest exponent prime factors of 9783 and 9786. First we will calculate the prime factors of 9783 and 9786.

Prime Factorization of 9783


3 9783
3 3261
1087 1087
1

Prime factors of 9783 are 3,1087. Prime factorization of 9783 in exponential form is:

9783 = 32×10871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9783 and 9786.

LCM(9783,9786) = 21×32×71×2331×10871
LCM(9783,9786) = 31912146

Factors of 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1, 3, 9, 1087, 3261, 9783

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

Least Common Multiple of 9783 and 9786 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9783 and 9786, than apply into the LCM equation.

GCF(9783,9786) = 3
LCM(9783,9786) = ( 9783 × 9786) / 3
LCM(9783,9786) = 95736438 / 3
LCM(9783,9786) = 31912146

Properties of LCM 9783 and 9786

(i) The LCM of 9786 and 9783 is associative

LCM of 9783 and 9786 = LCM of 9786 and 9783

Related Least Common Multiples of 9783

Related Least Common Multiples of 9786

Frequently Asked Questions on LCM of 9783 and 9786

1. What is the LCM of 9783 and 9786?

Answer: LCM of 9783 and 9786 is 31912146.

2. What are the Factors of 9783?

Answer: Factors of 9783 are 1, 3, 9, 1087, 3261, 9783. There are 6 integers that are factors of 9783. The greatest factor of 9783 is 9783.

3. 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.

4. How to Find the LCM of 9783 and 9786?

Answer:

Least Common Multiple of 9783 and 9786 = 31912146

Step 1: Find the prime factorization of 9783

9783 = 3 x 3 x 1087

Step 2: Find the prime factorization of 9786

9786 = 2 x 3 x 7 x 233

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

LCM = 31912146 = 2 x 3 x 3 x 7 x 233 x 1087

Step 4: Therefore, the least common multiple of 9783 and 9786 is 31912146.