Least Common Multiple of 9783 and 9784

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 9784 the smallest integer that is 95716872 that is divisible by both numbers.

Least Common Multiple (LCM) of 9783 and 9784 is 95716872.

LCM(9783,9784) = 95716872

LCM of 9783 and 9784

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

LCM of:
and

Least Common Multiple of 9783 and 9784

LCM of 9783 and 9784 is 95716872

Least common multiple can be found by multiplying the highest exponent prime factors of 9783 and 9784. First we will calculate the prime factors of 9783 and 9784.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 9783 and 9784.

LCM(9783,9784) = 23×32×10871×12231
LCM(9783,9784) = 95716872

Factors of 9783

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

1, 3, 9, 1087, 3261, 9783

Factors of 9784

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

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

Least Common Multiple of 9783 and 9784 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 9784, than apply into the LCM equation.

GCF(9783,9784) = 1
LCM(9783,9784) = ( 9783 × 9784) / 1
LCM(9783,9784) = 95716872 / 1
LCM(9783,9784) = 95716872

Properties of LCM 9783 and 9784

(i) The LCM of 9784 and 9783 is associative

LCM of 9783 and 9784 = LCM of 9784 and 9783

Related Least Common Multiples of 9783

Related Least Common Multiples of 9784

Frequently Asked Questions on LCM of 9783 and 9784

1. What is the LCM of 9783 and 9784?

Answer: LCM of 9783 and 9784 is 95716872.

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 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.

4. How to Find the LCM of 9783 and 9784?

Answer:

Least Common Multiple of 9783 and 9784 = 95716872

Step 1: Find the prime factorization of 9783

9783 = 3 x 3 x 1087

Step 2: Find the prime factorization of 9784

9784 = 2 x 2 x 2 x 1223

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

LCM = 95716872 = 2 x 2 x 2 x 3 x 3 x 1087 x 1223

Step 4: Therefore, the least common multiple of 9783 and 9784 is 95716872.