Least Common Multiple of 9783 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 9783 and 9789 the smallest integer that is 31921929 that is divisible by both numbers.

Least Common Multiple (LCM) of 9783 and 9789 is 31921929.

LCM(9783,9789) = 31921929

LCM of 9783 and 9789

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

LCM of:
and

Least Common Multiple of 9783 and 9789

LCM of 9783 and 9789 is 31921929

Least common multiple can be found by multiplying the highest exponent prime factors of 9783 and 9789. First we will calculate the prime factors of 9783 and 9789.

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 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 9783 and 9789.

LCM(9783,9789) = 32×131×2511×10871
LCM(9783,9789) = 31921929

Factors of 9783

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

1, 3, 9, 1087, 3261, 9783

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 9783 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 9783 and 9789, than apply into the LCM equation.

GCF(9783,9789) = 3
LCM(9783,9789) = ( 9783 × 9789) / 3
LCM(9783,9789) = 95765787 / 3
LCM(9783,9789) = 31921929

Properties of LCM 9783 and 9789

(i) The LCM of 9789 and 9783 is associative

LCM of 9783 and 9789 = LCM of 9789 and 9783

Related Least Common Multiples of 9783

Related Least Common Multiples of 9789

Frequently Asked Questions on LCM of 9783 and 9789

1. What is the LCM of 9783 and 9789?

Answer: LCM of 9783 and 9789 is 31921929.

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 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 9783 and 9789?

Answer:

Least Common Multiple of 9783 and 9789 = 31921929

Step 1: Find the prime factorization of 9783

9783 = 3 x 3 x 1087

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 = 31921929 = 3 x 3 x 13 x 251 x 1087

Step 4: Therefore, the least common multiple of 9783 and 9789 is 31921929.