Least Common Multiple of 9744 and 9749

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 9749 the smallest integer that is 94994256 that is divisible by both numbers.

Least Common Multiple (LCM) of 9744 and 9749 is 94994256.

LCM(9744,9749) = 94994256

LCM of 9744 and 9749

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

LCM of:
and

Least Common Multiple of 9744 and 9749

LCM of 9744 and 9749 is 94994256

Least common multiple can be found by multiplying the highest exponent prime factors of 9744 and 9749. First we will calculate the prime factors of 9744 and 9749.

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 9749


9749 9749
1

Prime factors of 9749 are 9749. Prime factorization of 9749 in exponential form is:

9749 = 97491

Now multiplying the highest exponent prime factors to calculate the LCM of 9744 and 9749.

LCM(9744,9749) = 24×31×71×291×97491
LCM(9744,9749) = 94994256

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 9749

List of positive integer factors of 9749 that divides 9749 without a remainder.

1, 9749

Least Common Multiple of 9744 and 9749 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 9749, than apply into the LCM equation.

GCF(9744,9749) = 1
LCM(9744,9749) = ( 9744 × 9749) / 1
LCM(9744,9749) = 94994256 / 1
LCM(9744,9749) = 94994256

Properties of LCM 9744 and 9749

(i) The LCM of 9749 and 9744 is associative

LCM of 9744 and 9749 = LCM of 9749 and 9744

Related Least Common Multiples of 9744

Related Least Common Multiples of 9749

Frequently Asked Questions on LCM of 9744 and 9749

1. What is the LCM of 9744 and 9749?

Answer: LCM of 9744 and 9749 is 94994256.

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 9749?

Answer: Factors of 9749 are 1, 9749. There are 2 integers that are factors of 9749. The greatest factor of 9749 is 9749.

4. How to Find the LCM of 9744 and 9749?

Answer:

Least Common Multiple of 9744 and 9749 = 94994256

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 9749

9749 = 9749

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

LCM = 94994256 = 2 x 2 x 2 x 2 x 3 x 7 x 29 x 9749

Step 4: Therefore, the least common multiple of 9744 and 9749 is 94994256.