Least Common Multiple of 9783 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 9783 and 9791 the smallest integer that is 95785353 that is divisible by both numbers.

Least Common Multiple (LCM) of 9783 and 9791 is 95785353.

LCM(9783,9791) = 95785353

LCM of 9783 and 9791

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

LCM of:
and

Least Common Multiple of 9783 and 9791

LCM of 9783 and 9791 is 95785353

Least common multiple can be found by multiplying the highest exponent prime factors of 9783 and 9791. First we will calculate the prime factors of 9783 and 9791.

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 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 9783 and 9791.

LCM(9783,9791) = 32×10871×97911
LCM(9783,9791) = 95785353

Factors of 9783

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

1, 3, 9, 1087, 3261, 9783

Factors of 9791

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

1, 9791

Least Common Multiple of 9783 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 9783 and 9791, than apply into the LCM equation.

GCF(9783,9791) = 1
LCM(9783,9791) = ( 9783 × 9791) / 1
LCM(9783,9791) = 95785353 / 1
LCM(9783,9791) = 95785353

Properties of LCM 9783 and 9791

(i) The LCM of 9791 and 9783 is associative

LCM of 9783 and 9791 = LCM of 9791 and 9783

Related Least Common Multiples of 9783

Related Least Common Multiples of 9791

Frequently Asked Questions on LCM of 9783 and 9791

1. What is the LCM of 9783 and 9791?

Answer: LCM of 9783 and 9791 is 95785353.

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 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 9783 and 9791?

Answer:

Least Common Multiple of 9783 and 9791 = 95785353

Step 1: Find the prime factorization of 9783

9783 = 3 x 3 x 1087

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 = 95785353 = 3 x 3 x 1087 x 9791

Step 4: Therefore, the least common multiple of 9783 and 9791 is 95785353.