Least Common Multiple of 9740 and 9745

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 9745 the smallest integer that is 18983260 that is divisible by both numbers.

Least Common Multiple (LCM) of 9740 and 9745 is 18983260.

LCM(9740,9745) = 18983260

LCM of 9740 and 9745

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

LCM of:
and

Least Common Multiple of 9740 and 9745

LCM of 9740 and 9745 is 18983260

Least common multiple can be found by multiplying the highest exponent prime factors of 9740 and 9745. First we will calculate the prime factors of 9740 and 9745.

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 9745


5 9745
1949 1949
1

Prime factors of 9745 are 5,1949. Prime factorization of 9745 in exponential form is:

9745 = 51×19491

Now multiplying the highest exponent prime factors to calculate the LCM of 9740 and 9745.

LCM(9740,9745) = 22×51×4871×19491
LCM(9740,9745) = 18983260

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 9745

List of positive integer factors of 9745 that divides 9745 without a remainder.

1, 5, 1949, 9745

Least Common Multiple of 9740 and 9745 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 9745, than apply into the LCM equation.

GCF(9740,9745) = 5
LCM(9740,9745) = ( 9740 × 9745) / 5
LCM(9740,9745) = 94916300 / 5
LCM(9740,9745) = 18983260

Properties of LCM 9740 and 9745

(i) The LCM of 9745 and 9740 is associative

LCM of 9740 and 9745 = LCM of 9745 and 9740

Related Least Common Multiples of 9740

Related Least Common Multiples of 9745

Frequently Asked Questions on LCM of 9740 and 9745

1. What is the LCM of 9740 and 9745?

Answer: LCM of 9740 and 9745 is 18983260.

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 9745?

Answer: Factors of 9745 are 1, 5, 1949, 9745. There are 4 integers that are factors of 9745. The greatest factor of 9745 is 9745.

4. How to Find the LCM of 9740 and 9745?

Answer:

Least Common Multiple of 9740 and 9745 = 18983260

Step 1: Find the prime factorization of 9740

9740 = 2 x 2 x 5 x 487

Step 2: Find the prime factorization of 9745

9745 = 5 x 1949

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

LCM = 18983260 = 2 x 2 x 5 x 487 x 1949

Step 4: Therefore, the least common multiple of 9740 and 9745 is 18983260.