Least Common Multiple of 9740 and 9748

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 9748 the smallest integer that is 23736380 that is divisible by both numbers.

Least Common Multiple (LCM) of 9740 and 9748 is 23736380.

LCM(9740,9748) = 23736380

LCM of 9740 and 9748

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

LCM of:
and

Least Common Multiple of 9740 and 9748

LCM of 9740 and 9748 is 23736380

Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9748. First we will calculate the prime factors of 9740 and 9748.

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 9748


2 9748
2 4874
2437 2437
1

Prime factors of 9748 are 2,2437. Prime factorization of 9748 in exponential form is:

9748 = 22×24371

Now multiplying the highest exponent prime factors to calculate the LCM of 9740 and 9748.

LCM(9740,9748) = 22×51×4871×24371
LCM(9740,9748) = 23736380

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 9748

List of positive integer factors of 9748 that divides 9748 without a remainder.

1, 2, 4, 2437, 4874, 9748

Least Common Multiple of 9740 and 9748 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 9748, than apply into the LCM equation.

GCF(9740,9748) = 4
LCM(9740,9748) = ( 9740 × 9748) / 4
LCM(9740,9748) = 94945520 / 4
LCM(9740,9748) = 23736380

Properties of LCM 9740 and 9748

(i) The LCM of 9748 and 9740 is associative

LCM of 9740 and 9748 = LCM of 9748 and 9740

Related Least Common Multiples of 9740

Related Least Common Multiples of 9748

Frequently Asked Questions on LCM of 9740 and 9748

1. What is the LCM of 9740 and 9748?

Answer: LCM of 9740 and 9748 is 23736380.

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 9748?

Answer: Factors of 9748 are 1, 2, 4, 2437, 4874, 9748. There are 6 integers that are factors of 9748. The greatest factor of 9748 is 9748.

4. How to Find the LCM of 9740 and 9748?

Answer:

Least Common Multiple of 9740 and 9748 = 23736380

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

Step 2: Find the prime factorization of 9748

9748 = 2 x 2 x 2437

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

LCM = 23736380 = 2 x 2 x 5 x 487 x 2437

Step 4: Therefore, the least common multiple of 9740 and 9748 is 23736380.