Least Common Multiple of 9784 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 9784 and 9789 the smallest integer that is 95775576 that is divisible by both numbers.

Least Common Multiple (LCM) of 9784 and 9789 is 95775576.

LCM(9784,9789) = 95775576

LCM of 9784 and 9789

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

LCM of:
and

Least Common Multiple of 9784 and 9789

LCM of 9784 and 9789 is 95775576

Least common multiple can be found by multiplying the highest exponent prime factors of 9784 and 9789. First we will calculate the prime factors of 9784 and 9789.

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 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 9784 and 9789.

LCM(9784,9789) = 23×31×131×2511×12231
LCM(9784,9789) = 95775576

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 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 9784 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 9784 and 9789, than apply into the LCM equation.

GCF(9784,9789) = 1
LCM(9784,9789) = ( 9784 × 9789) / 1
LCM(9784,9789) = 95775576 / 1
LCM(9784,9789) = 95775576

Properties of LCM 9784 and 9789

(i) The LCM of 9789 and 9784 is associative

LCM of 9784 and 9789 = LCM of 9789 and 9784

Related Least Common Multiples of 9784

Related Least Common Multiples of 9789

Frequently Asked Questions on LCM of 9784 and 9789

1. What is the LCM of 9784 and 9789?

Answer: LCM of 9784 and 9789 is 95775576.

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 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 9784 and 9789?

Answer:

Least Common Multiple of 9784 and 9789 = 95775576

Step 1: Find the prime factorization of 9784

9784 = 2 x 2 x 2 x 1223

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 = 95775576 = 2 x 2 x 2 x 3 x 13 x 251 x 1223

Step 4: Therefore, the least common multiple of 9784 and 9789 is 95775576.