Least Common Multiple of 9740 and 9747

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 9747 the smallest integer that is 94935780 that is divisible by both numbers.

Least Common Multiple (LCM) of 9740 and 9747 is 94935780.

LCM(9740,9747) = 94935780

LCM of 9740 and 9747

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

LCM of:
and

Least Common Multiple of 9740 and 9747

LCM of 9740 and 9747 is 94935780

Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9747. First we will calculate the prime factors of 9740 and 9747.

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 9747


3 9747
3 3249
3 1083
19 361
19 19
1

Prime factors of 9747 are 3,19. Prime factorization of 9747 in exponential form is:

9747 = 33×192

Now multiplying the highest exponent prime factors to calculate the LCM of 9740 and 9747.

LCM(9740,9747) = 22×33×51×192×4871
LCM(9740,9747) = 94935780

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 9747

List of positive integer factors of 9747 that divides 9747 without a remainder.

1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747

Least Common Multiple of 9740 and 9747 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 9747, than apply into the LCM equation.

GCF(9740,9747) = 1
LCM(9740,9747) = ( 9740 × 9747) / 1
LCM(9740,9747) = 94935780 / 1
LCM(9740,9747) = 94935780

Properties of LCM 9740 and 9747

(i) The LCM of 9747 and 9740 is associative

LCM of 9740 and 9747 = LCM of 9747 and 9740

Related Least Common Multiples of 9740

Related Least Common Multiples of 9747

Frequently Asked Questions on LCM of 9740 and 9747

1. What is the LCM of 9740 and 9747?

Answer: LCM of 9740 and 9747 is 94935780.

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 9747?

Answer: Factors of 9747 are 1, 3, 9, 19, 27, 57, 171, 361, 513, 1083, 3249, 9747. There are 12 integers that are factors of 9747. The greatest factor of 9747 is 9747.

4. How to Find the LCM of 9740 and 9747?

Answer:

Least Common Multiple of 9740 and 9747 = 94935780

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

Step 2: Find the prime factorization of 9747

9747 = 3 x 3 x 3 x 19 x 19

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

LCM = 94935780 = 2 x 2 x 3 x 3 x 3 x 5 x 19 x 19 x 487

Step 4: Therefore, the least common multiple of 9740 and 9747 is 94935780.