Least Common Multiple of 9718 and 9724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9718 and 9724 the smallest integer that is 47248916 that is divisible by both numbers.

Least Common Multiple (LCM) of 9718 and 9724 is 47248916.

LCM(9718,9724) = 47248916

LCM of 9718 and 9724

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

LCM of:
and

Least Common Multiple of 9718 and 9724

LCM of 9718 and 9724 is 47248916

Least common multiple can be found by multiplying the highest exponent prime factors of 9718 and 9724. First we will calculate the prime factors of 9718 and 9724.

Prime Factorization of 9718


2 9718
43 4859
113 113
1

Prime factors of 9718 are 2, 43,113. Prime factorization of 9718 in exponential form is:

9718 = 21×431×1131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9718 and 9724.

LCM(9718,9724) = 22×111×131×171×431×1131
LCM(9718,9724) = 47248916

Factors of 9718

List of positive integer factors of 9718 that divides 9718 without a remainder.

1, 2, 43, 86, 113, 226, 4859, 9718

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

Least Common Multiple of 9718 and 9724 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9718 and 9724, than apply into the LCM equation.

GCF(9718,9724) = 2
LCM(9718,9724) = ( 9718 × 9724) / 2
LCM(9718,9724) = 94497832 / 2
LCM(9718,9724) = 47248916

Properties of LCM 9718 and 9724

(i) The LCM of 9724 and 9718 is associative

LCM of 9718 and 9724 = LCM of 9724 and 9718

Related Least Common Multiples of 9718

Related Least Common Multiples of 9724

Frequently Asked Questions on LCM of 9718 and 9724

1. What is the LCM of 9718 and 9724?

Answer: LCM of 9718 and 9724 is 47248916.

2. What are the Factors of 9718?

Answer: Factors of 9718 are 1, 2, 43, 86, 113, 226, 4859, 9718. There are 8 integers that are factors of 9718. The greatest factor of 9718 is 9718.

3. 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.

4. How to Find the LCM of 9718 and 9724?

Answer:

Least Common Multiple of 9718 and 9724 = 47248916

Step 1: Find the prime factorization of 9718

9718 = 2 x 43 x 113

Step 2: Find the prime factorization of 9724

9724 = 2 x 2 x 11 x 13 x 17

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

LCM = 47248916 = 2 x 2 x 11 x 13 x 17 x 43 x 113

Step 4: Therefore, the least common multiple of 9718 and 9724 is 47248916.