Least Common Multiple of 9740 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 9740 and 9744 the smallest integer that is 23726640 that is divisible by both numbers.

Least Common Multiple (LCM) of 9740 and 9744 is 23726640.

LCM(9740,9744) = 23726640

LCM of 9740 and 9744

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

LCM of:
and

Least Common Multiple of 9740 and 9744

LCM of 9740 and 9744 is 23726640

Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9744. First we will calculate the prime factors of 9740 and 9744.

Prime Factorization of 9740


2 9740
2 4870
5 2435
487 487
1

Prime factors of 9740 are 2, 5,487. Prime factorization of 9740 in exponential form is:

9740 = 22×51×4871

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 9740 and 9744.

LCM(9740,9744) = 24×31×51×71×291×4871
LCM(9740,9744) = 23726640

Factors of 9740

List of positive integer factors of 9740 that divides 9740 without a remainder.

1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740

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 9740 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 9740 and 9744, than apply into the LCM equation.

GCF(9740,9744) = 4
LCM(9740,9744) = ( 9740 × 9744) / 4
LCM(9740,9744) = 94906560 / 4
LCM(9740,9744) = 23726640

Properties of LCM 9740 and 9744

(i) The LCM of 9744 and 9740 is associative

LCM of 9740 and 9744 = LCM of 9744 and 9740

Related Least Common Multiples of 9740

Related Least Common Multiples of 9744

Frequently Asked Questions on LCM of 9740 and 9744

1. What is the LCM of 9740 and 9744?

Answer: LCM of 9740 and 9744 is 23726640.

2. What are the Factors of 9740?

Answer: Factors of 9740 are 1, 2, 4, 5, 10, 20, 487, 974, 1948, 2435, 4870, 9740. There are 12 integers that are factors of 9740. The greatest factor of 9740 is 9740.

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 9740 and 9744?

Answer:

Least Common Multiple of 9740 and 9744 = 23726640

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

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 = 23726640 = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 29 x 487

Step 4: Therefore, the least common multiple of 9740 and 9744 is 23726640.