Least Common Multiple of 9737 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 9737 and 9744 the smallest integer that is 13553904 that is divisible by both numbers.

Least Common Multiple (LCM) of 9737 and 9744 is 13553904.

LCM(9737,9744) = 13553904

LCM of 9737 and 9744

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

LCM of:
and

Least Common Multiple of 9737 and 9744

LCM of 9737 and 9744 is 13553904

Least common multiple can be found by multiplying the highest exponent prime factors of 9737 and 9744. First we will calculate the prime factors of 9737 and 9744.

Prime Factorization of 9737


7 9737
13 1391
107 107
1

Prime factors of 9737 are 7, 13,107. Prime factorization of 9737 in exponential form is:

9737 = 71×131×1071

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 9737 and 9744.

LCM(9737,9744) = 24×31×71×131×291×1071
LCM(9737,9744) = 13553904

Factors of 9737

List of positive integer factors of 9737 that divides 9737 without a remainder.

1, 7, 13, 91, 107, 749, 1391, 9737

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 9737 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 9737 and 9744, than apply into the LCM equation.

GCF(9737,9744) = 7
LCM(9737,9744) = ( 9737 × 9744) / 7
LCM(9737,9744) = 94877328 / 7
LCM(9737,9744) = 13553904

Properties of LCM 9737 and 9744

(i) The LCM of 9744 and 9737 is associative

LCM of 9737 and 9744 = LCM of 9744 and 9737

Related Least Common Multiples of 9737

Related Least Common Multiples of 9744

Frequently Asked Questions on LCM of 9737 and 9744

1. What is the LCM of 9737 and 9744?

Answer: LCM of 9737 and 9744 is 13553904.

2. What are the Factors of 9737?

Answer: Factors of 9737 are 1, 7, 13, 91, 107, 749, 1391, 9737. There are 8 integers that are factors of 9737. The greatest factor of 9737 is 9737.

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 9737 and 9744?

Answer:

Least Common Multiple of 9737 and 9744 = 13553904

Step 1: Find the prime factorization of 9737

9737 = 7 x 13 x 107

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 = 13553904 = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 29 x 107

Step 4: Therefore, the least common multiple of 9737 and 9744 is 13553904.