Least Common Multiple of 9776 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 9776 and 9784 the smallest integer that is 11956048 that is divisible by both numbers.

Least Common Multiple (LCM) of 9776 and 9784 is 11956048.

LCM(9776,9784) = 11956048

LCM of 9776 and 9784

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

LCM of:
and

Least Common Multiple of 9776 and 9784

LCM of 9776 and 9784 is 11956048

Least common multiple can be found by multiplying the highest exponent prime factors of 9776 and 9784. First we will calculate the prime factors of 9776 and 9784.

Prime Factorization of 9776


2 9776
2 4888
2 2444
2 1222
13 611
47 47
1

Prime factors of 9776 are 2, 13,47. Prime factorization of 9776 in exponential form is:

9776 = 24×131×471

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 9776 and 9784.

LCM(9776,9784) = 24×131×471×12231
LCM(9776,9784) = 11956048

Factors of 9776

List of positive integer factors of 9776 that divides 9776 without a remainder.

1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776

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 9776 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 9776 and 9784, than apply into the LCM equation.

GCF(9776,9784) = 8
LCM(9776,9784) = ( 9776 × 9784) / 8
LCM(9776,9784) = 95648384 / 8
LCM(9776,9784) = 11956048

Properties of LCM 9776 and 9784

(i) The LCM of 9784 and 9776 is associative

LCM of 9776 and 9784 = LCM of 9784 and 9776

Related Least Common Multiples of 9776

Related Least Common Multiples of 9784

Frequently Asked Questions on LCM of 9776 and 9784

1. What is the LCM of 9776 and 9784?

Answer: LCM of 9776 and 9784 is 11956048.

2. What are the Factors of 9776?

Answer: Factors of 9776 are 1, 2, 4, 8, 13, 16, 26, 47, 52, 94, 104, 188, 208, 376, 611, 752, 1222, 2444, 4888, 9776. There are 20 integers that are factors of 9776. The greatest factor of 9776 is 9776.

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 9776 and 9784?

Answer:

Least Common Multiple of 9776 and 9784 = 11956048

Step 1: Find the prime factorization of 9776

9776 = 2 x 2 x 2 x 2 x 13 x 47

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 = 11956048 = 2 x 2 x 2 x 2 x 13 x 47 x 1223

Step 4: Therefore, the least common multiple of 9776 and 9784 is 11956048.