Least Common Multiple of 9784 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 9784 and 9791 the smallest integer that is 95795144 that is divisible by both numbers.

Least Common Multiple (LCM) of 9784 and 9791 is 95795144.

LCM(9784,9791) = 95795144

LCM of 9784 and 9791

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

LCM of:
and

Least Common Multiple of 9784 and 9791

LCM of 9784 and 9791 is 95795144

Least common multiple can be found by multiplying the highest exponent prime factors of 9784 and 9791. First we will calculate the prime factors of 9784 and 9791.

Prime Factorization of 9784


2 9784
2 4892
2 2446
1223 1223
1

Prime factors of 9784 are 2,1223. Prime factorization of 9784 in exponential form is:

9784 = 23×12231

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 9784 and 9791.

LCM(9784,9791) = 23×12231×97911
LCM(9784,9791) = 95795144

Factors of 9784

List of positive integer factors of 9784 that divides 9784 without a remainder.

1, 2, 4, 8, 1223, 2446, 4892, 9784

Factors of 9791

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

1, 9791

Least Common Multiple of 9784 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 9784 and 9791, than apply into the LCM equation.

GCF(9784,9791) = 1
LCM(9784,9791) = ( 9784 × 9791) / 1
LCM(9784,9791) = 95795144 / 1
LCM(9784,9791) = 95795144

Properties of LCM 9784 and 9791

(i) The LCM of 9791 and 9784 is associative

LCM of 9784 and 9791 = LCM of 9791 and 9784

Related Least Common Multiples of 9784

Related Least Common Multiples of 9791

Frequently Asked Questions on LCM of 9784 and 9791

1. What is the LCM of 9784 and 9791?

Answer: LCM of 9784 and 9791 is 95795144.

2. What are the Factors of 9784?

Answer: Factors of 9784 are 1, 2, 4, 8, 1223, 2446, 4892, 9784. There are 8 integers that are factors of 9784. The greatest factor of 9784 is 9784.

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 9784 and 9791?

Answer:

Least Common Multiple of 9784 and 9791 = 95795144

Step 1: Find the prime factorization of 9784

9784 = 2 x 2 x 2 x 1223

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 = 95795144 = 2 x 2 x 2 x 1223 x 9791

Step 4: Therefore, the least common multiple of 9784 and 9791 is 95795144.