Least Common Multiple of 9730 and 9736

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9730 and 9736 the smallest integer that is 47365640 that is divisible by both numbers.

Least Common Multiple (LCM) of 9730 and 9736 is 47365640.

LCM(9730,9736) = 47365640

LCM of 9730 and 9736

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

LCM of:
and

Least Common Multiple of 9730 and 9736

LCM of 9730 and 9736 is 47365640

Least common multiple can be found by multiplying the highest exponent prime factors of 9730 and 9736. First we will calculate the prime factors of 9730 and 9736.

Prime Factorization of 9730


2 9730
5 4865
7 973
139 139
1

Prime factors of 9730 are 2, 5, 7,139. Prime factorization of 9730 in exponential form is:

9730 = 21×51×71×1391

Prime Factorization of 9736


2 9736
2 4868
2 2434
1217 1217
1

Prime factors of 9736 are 2,1217. Prime factorization of 9736 in exponential form is:

9736 = 23×12171

Now multiplying the highest exponent prime factors to calculate the LCM of 9730 and 9736.

LCM(9730,9736) = 23×51×71×1391×12171
LCM(9730,9736) = 47365640

Factors of 9730

List of positive integer factors of 9730 that divides 9730 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730

Factors of 9736

List of positive integer factors of 9736 that divides 9736 without a remainder.

1, 2, 4, 8, 1217, 2434, 4868, 9736

Least Common Multiple of 9730 and 9736 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9730 and 9736, than apply into the LCM equation.

GCF(9730,9736) = 2
LCM(9730,9736) = ( 9730 × 9736) / 2
LCM(9730,9736) = 94731280 / 2
LCM(9730,9736) = 47365640

Properties of LCM 9730 and 9736

(i) The LCM of 9736 and 9730 is associative

LCM of 9730 and 9736 = LCM of 9736 and 9730

Related Least Common Multiples of 9730

Related Least Common Multiples of 9736

Frequently Asked Questions on LCM of 9730 and 9736

1. What is the LCM of 9730 and 9736?

Answer: LCM of 9730 and 9736 is 47365640.

2. What are the Factors of 9730?

Answer: Factors of 9730 are 1, 2, 5, 7, 10, 14, 35, 70, 139, 278, 695, 973, 1390, 1946, 4865, 9730. There are 16 integers that are factors of 9730. The greatest factor of 9730 is 9730.

3. What are the Factors of 9736?

Answer: Factors of 9736 are 1, 2, 4, 8, 1217, 2434, 4868, 9736. There are 8 integers that are factors of 9736. The greatest factor of 9736 is 9736.

4. How to Find the LCM of 9730 and 9736?

Answer:

Least Common Multiple of 9730 and 9736 = 47365640

Step 1: Find the prime factorization of 9730

9730 = 2 x 5 x 7 x 139

Step 2: Find the prime factorization of 9736

9736 = 2 x 2 x 2 x 1217

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

LCM = 47365640 = 2 x 2 x 2 x 5 x 7 x 139 x 1217

Step 4: Therefore, the least common multiple of 9730 and 9736 is 47365640.