Least Common Multiple of 9740 and 9743

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 9743 the smallest integer that is 94896820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9740 and 9743 is 94896820.

LCM(9740,9743) = 94896820

LCM of 9740 and 9743

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

LCM of:
and

Least Common Multiple of 9740 and 9743

LCM of 9740 and 9743 is 94896820

Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9743. First we will calculate the prime factors of 9740 and 9743.

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 9743


9743 9743
1

Prime factors of 9743 are 9743. Prime factorization of 9743 in exponential form is:

9743 = 97431

Now multiplying the highest exponent prime factors to calculate the LCM of 9740 and 9743.

LCM(9740,9743) = 22×51×4871×97431
LCM(9740,9743) = 94896820

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 9743

List of positive integer factors of 9743 that divides 9743 without a remainder.

1, 9743

Least Common Multiple of 9740 and 9743 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 9743, than apply into the LCM equation.

GCF(9740,9743) = 1
LCM(9740,9743) = ( 9740 × 9743) / 1
LCM(9740,9743) = 94896820 / 1
LCM(9740,9743) = 94896820

Properties of LCM 9740 and 9743

(i) The LCM of 9743 and 9740 is associative

LCM of 9740 and 9743 = LCM of 9743 and 9740

Related Least Common Multiples of 9740

Related Least Common Multiples of 9743

Frequently Asked Questions on LCM of 9740 and 9743

1. What is the LCM of 9740 and 9743?

Answer: LCM of 9740 and 9743 is 94896820.

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 9743?

Answer: Factors of 9743 are 1, 9743. There are 2 integers that are factors of 9743. The greatest factor of 9743 is 9743.

4. How to Find the LCM of 9740 and 9743?

Answer:

Least Common Multiple of 9740 and 9743 = 94896820

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

Step 2: Find the prime factorization of 9743

9743 = 9743

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

LCM = 94896820 = 2 x 2 x 5 x 487 x 9743

Step 4: Therefore, the least common multiple of 9740 and 9743 is 94896820.