Least Common Multiple of 9726 and 9730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9726 and 9730 the smallest integer that is 47316990 that is divisible by both numbers.

Least Common Multiple (LCM) of 9726 and 9730 is 47316990.

LCM(9726,9730) = 47316990

LCM of 9726 and 9730

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

LCM of:
and

Least Common Multiple of 9726 and 9730

LCM of 9726 and 9730 is 47316990

Least common multiple can be found by multiplying the highest exponent prime factors of 9726 and 9730. First we will calculate the prime factors of 9726 and 9730.

Prime Factorization of 9726


2 9726
3 4863
1621 1621
1

Prime factors of 9726 are 2, 3,1621. Prime factorization of 9726 in exponential form is:

9726 = 21×31×16211

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9726 and 9730.

LCM(9726,9730) = 21×31×51×71×1391×16211
LCM(9726,9730) = 47316990

Factors of 9726

List of positive integer factors of 9726 that divides 9726 without a remainder.

1, 2, 3, 6, 1621, 3242, 4863, 9726

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

Least Common Multiple of 9726 and 9730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9726 and 9730, than apply into the LCM equation.

GCF(9726,9730) = 2
LCM(9726,9730) = ( 9726 × 9730) / 2
LCM(9726,9730) = 94633980 / 2
LCM(9726,9730) = 47316990

Properties of LCM 9726 and 9730

(i) The LCM of 9730 and 9726 is associative

LCM of 9726 and 9730 = LCM of 9730 and 9726

Related Least Common Multiples of 9726

Related Least Common Multiples of 9730

Frequently Asked Questions on LCM of 9726 and 9730

1. What is the LCM of 9726 and 9730?

Answer: LCM of 9726 and 9730 is 47316990.

2. What are the Factors of 9726?

Answer: Factors of 9726 are 1, 2, 3, 6, 1621, 3242, 4863, 9726. There are 8 integers that are factors of 9726. The greatest factor of 9726 is 9726.

3. 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.

4. How to Find the LCM of 9726 and 9730?

Answer:

Least Common Multiple of 9726 and 9730 = 47316990

Step 1: Find the prime factorization of 9726

9726 = 2 x 3 x 1621

Step 2: Find the prime factorization of 9730

9730 = 2 x 5 x 7 x 139

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

LCM = 47316990 = 2 x 3 x 5 x 7 x 139 x 1621

Step 4: Therefore, the least common multiple of 9726 and 9730 is 47316990.