Least Common Multiple of 9724 and 9726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9724 and 9726 the smallest integer that is 47287812 that is divisible by both numbers.

Least Common Multiple (LCM) of 9724 and 9726 is 47287812.

LCM(9724,9726) = 47287812

LCM of 9724 and 9726

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

LCM of:
and

Least Common Multiple of 9724 and 9726

LCM of 9724 and 9726 is 47287812

Least common multiple can be found by multiplying the highest exponent prime factors of 9724 and 9726. First we will calculate the prime factors of 9724 and 9726.

Prime Factorization of 9724


2 9724
2 4862
11 2431
13 221
17 17
1

Prime factors of 9724 are 2, 11, 13,17. Prime factorization of 9724 in exponential form is:

9724 = 22×111×131×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9724 and 9726.

LCM(9724,9726) = 22×31×111×131×171×16211
LCM(9724,9726) = 47287812

Factors of 9724

List of positive integer factors of 9724 that divides 9724 without a remainder.

1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724

Factors of 9726

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

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

Least Common Multiple of 9724 and 9726 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9724 and 9726, than apply into the LCM equation.

GCF(9724,9726) = 2
LCM(9724,9726) = ( 9724 × 9726) / 2
LCM(9724,9726) = 94575624 / 2
LCM(9724,9726) = 47287812

Properties of LCM 9724 and 9726

(i) The LCM of 9726 and 9724 is associative

LCM of 9724 and 9726 = LCM of 9726 and 9724

Related Least Common Multiples of 9724

Related Least Common Multiples of 9726

Frequently Asked Questions on LCM of 9724 and 9726

1. What is the LCM of 9724 and 9726?

Answer: LCM of 9724 and 9726 is 47287812.

2. What are the Factors of 9724?

Answer: Factors of 9724 are 1, 2, 4, 11, 13, 17, 22, 26, 34, 44, 52, 68, 143, 187, 221, 286, 374, 442, 572, 748, 884, 2431, 4862, 9724. There are 24 integers that are factors of 9724. The greatest factor of 9724 is 9724.

3. 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.

4. How to Find the LCM of 9724 and 9726?

Answer:

Least Common Multiple of 9724 and 9726 = 47287812

Step 1: Find the prime factorization of 9724

9724 = 2 x 2 x 11 x 13 x 17

Step 2: Find the prime factorization of 9726

9726 = 2 x 3 x 1621

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

LCM = 47287812 = 2 x 2 x 3 x 11 x 13 x 17 x 1621

Step 4: Therefore, the least common multiple of 9724 and 9726 is 47287812.