Least Common Multiple of 9730 and 9732

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 9732 the smallest integer that is 47346180 that is divisible by both numbers.

Least Common Multiple (LCM) of 9730 and 9732 is 47346180.

LCM(9730,9732) = 47346180

LCM of 9730 and 9732

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

LCM of:
and

Least Common Multiple of 9730 and 9732

LCM of 9730 and 9732 is 47346180

Least common multiple can be found by multiplying the highest exponent prime factors of 9730 and 9732. First we will calculate the prime factors of 9730 and 9732.

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 9732


2 9732
2 4866
3 2433
811 811
1

Prime factors of 9732 are 2, 3,811. Prime factorization of 9732 in exponential form is:

9732 = 22×31×8111

Now multiplying the highest exponent prime factors to calculate the LCM of 9730 and 9732.

LCM(9730,9732) = 22×31×51×71×1391×8111
LCM(9730,9732) = 47346180

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 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732

Least Common Multiple of 9730 and 9732 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 9732, than apply into the LCM equation.

GCF(9730,9732) = 2
LCM(9730,9732) = ( 9730 × 9732) / 2
LCM(9730,9732) = 94692360 / 2
LCM(9730,9732) = 47346180

Properties of LCM 9730 and 9732

(i) The LCM of 9732 and 9730 is associative

LCM of 9730 and 9732 = LCM of 9732 and 9730

Related Least Common Multiples of 9730

Related Least Common Multiples of 9732

Frequently Asked Questions on LCM of 9730 and 9732

1. What is the LCM of 9730 and 9732?

Answer: LCM of 9730 and 9732 is 47346180.

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 9732?

Answer: Factors of 9732 are 1, 2, 3, 4, 6, 12, 811, 1622, 2433, 3244, 4866, 9732. There are 12 integers that are factors of 9732. The greatest factor of 9732 is 9732.

4. How to Find the LCM of 9730 and 9732?

Answer:

Least Common Multiple of 9730 and 9732 = 47346180

Step 1: Find the prime factorization of 9730

9730 = 2 x 5 x 7 x 139

Step 2: Find the prime factorization of 9732

9732 = 2 x 2 x 3 x 811

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

LCM = 47346180 = 2 x 2 x 3 x 5 x 7 x 139 x 811

Step 4: Therefore, the least common multiple of 9730 and 9732 is 47346180.