Least Common Multiple of 9744 and 9751

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9744 and 9751 the smallest integer that is 13573392 that is divisible by both numbers.

Least Common Multiple (LCM) of 9744 and 9751 is 13573392.

LCM(9744,9751) = 13573392

LCM of 9744 and 9751

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

LCM of:
and

Least Common Multiple of 9744 and 9751

LCM of 9744 and 9751 is 13573392

Least common multiple can be found by multiplying the highest exponent prime factors of 9744 and 9751. First we will calculate the prime factors of 9744 and 9751.

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

Prime Factorization of 9751


7 9751
7 1393
199 199
1

Prime factors of 9751 are 7,199. Prime factorization of 9751 in exponential form is:

9751 = 72×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 9744 and 9751.

LCM(9744,9751) = 24×31×72×291×1991
LCM(9744,9751) = 13573392

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

Factors of 9751

List of positive integer factors of 9751 that divides 9751 without a remainder.

1, 7, 49, 199, 1393, 9751

Least Common Multiple of 9744 and 9751 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9744 and 9751, than apply into the LCM equation.

GCF(9744,9751) = 7
LCM(9744,9751) = ( 9744 × 9751) / 7
LCM(9744,9751) = 95013744 / 7
LCM(9744,9751) = 13573392

Properties of LCM 9744 and 9751

(i) The LCM of 9751 and 9744 is associative

LCM of 9744 and 9751 = LCM of 9751 and 9744

Related Least Common Multiples of 9744

Related Least Common Multiples of 9751

Frequently Asked Questions on LCM of 9744 and 9751

1. What is the LCM of 9744 and 9751?

Answer: LCM of 9744 and 9751 is 13573392.

2. 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.

3. What are the Factors of 9751?

Answer: Factors of 9751 are 1, 7, 49, 199, 1393, 9751. There are 6 integers that are factors of 9751. The greatest factor of 9751 is 9751.

4. How to Find the LCM of 9744 and 9751?

Answer:

Least Common Multiple of 9744 and 9751 = 13573392

Step 1: Find the prime factorization of 9744

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

Step 2: Find the prime factorization of 9751

9751 = 7 x 7 x 199

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

LCM = 13573392 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 29 x 199

Step 4: Therefore, the least common multiple of 9744 and 9751 is 13573392.