Least Common Multiple of 9736 and 9744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9736 and 9744 the smallest integer that is 11858448 that is divisible by both numbers.

Least Common Multiple (LCM) of 9736 and 9744 is 11858448.

LCM(9736,9744) = 11858448

LCM of 9736 and 9744

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

LCM of:
and

Least Common Multiple of 9736 and 9744

LCM of 9736 and 9744 is 11858448

Least common multiple can be found by multiplying the highest exponent prime factors of 9736 and 9744. First we will calculate the prime factors of 9736 and 9744.

Prime Factorization of 9736


2 9736
2 4868
2 2434
1217 1217
1

Prime factors of 9736 are 2,1217. Prime factorization of 9736 in exponential form is:

9736 = 23×12171

Prime Factorization of 9744


2 9744
2 4872
2 2436
2 1218
3 609
7 203
29 29
1

Prime factors of 9744 are 2, 3, 7,29. Prime factorization of 9744 in exponential form is:

9744 = 24×31×71×291

Now multiplying the highest exponent prime factors to calculate the LCM of 9736 and 9744.

LCM(9736,9744) = 24×31×71×291×12171
LCM(9736,9744) = 11858448

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1, 2, 4, 8, 1217, 2434, 4868, 9736

Factors of 9744

List of positive integer factors of 9744 that divides 9744 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744

Least Common Multiple of 9736 and 9744 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9736 and 9744, than apply into the LCM equation.

GCF(9736,9744) = 8
LCM(9736,9744) = ( 9736 × 9744) / 8
LCM(9736,9744) = 94867584 / 8
LCM(9736,9744) = 11858448

Properties of LCM 9736 and 9744

(i) The LCM of 9744 and 9736 is associative

LCM of 9736 and 9744 = LCM of 9744 and 9736

Related Least Common Multiples of 9736

Related Least Common Multiples of 9744

Frequently Asked Questions on LCM of 9736 and 9744

1. What is the LCM of 9736 and 9744?

Answer: LCM of 9736 and 9744 is 11858448.

2. What are the Factors of 9736?

Answer: Factors of 9736 are 1, 2, 4, 8, 1217, 2434, 4868, 9736. There are 8 integers that are factors of 9736. The greatest factor of 9736 is 9736.

3. What are the Factors of 9744?

Answer: Factors of 9744 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 42, 48, 56, 58, 84, 87, 112, 116, 168, 174, 203, 232, 336, 348, 406, 464, 609, 696, 812, 1218, 1392, 1624, 2436, 3248, 4872, 9744. There are 40 integers that are factors of 9744. The greatest factor of 9744 is 9744.

4. How to Find the LCM of 9736 and 9744?

Answer:

Least Common Multiple of 9736 and 9744 = 11858448

Step 1: Find the prime factorization of 9736

9736 = 2 x 2 x 2 x 1217

Step 2: Find the prime factorization of 9744

9744 = 2 x 2 x 2 x 2 x 3 x 7 x 29

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

LCM = 11858448 = 2 x 2 x 2 x 2 x 3 x 7 x 29 x 1217

Step 4: Therefore, the least common multiple of 9736 and 9744 is 11858448.