Least Common Multiple of 9713 and 9721

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9713 and 9721 the smallest integer that is 94420073 that is divisible by both numbers.

Least Common Multiple (LCM) of 9713 and 9721 is 94420073.

LCM(9713,9721) = 94420073

LCM of 9713 and 9721

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

LCM of:
and

Least Common Multiple of 9713 and 9721

LCM of 9713 and 9721 is 94420073

Least common multiple can be found by multiplying the highest exponent prime factors of 9713 and 9721. First we will calculate the prime factors of 9713 and 9721.

Prime Factorization of 9713


11 9713
883 883
1

Prime factors of 9713 are 11,883. Prime factorization of 9713 in exponential form is:

9713 = 111×8831

Prime Factorization of 9721


9721 9721
1

Prime factors of 9721 are 9721. Prime factorization of 9721 in exponential form is:

9721 = 97211

Now multiplying the highest exponent prime factors to calculate the LCM of 9713 and 9721.

LCM(9713,9721) = 111×8831×97211
LCM(9713,9721) = 94420073

Factors of 9713

List of positive integer factors of 9713 that divides 9713 without a remainder.

1, 11, 883, 9713

Factors of 9721

List of positive integer factors of 9721 that divides 9721 without a remainder.

1, 9721

Least Common Multiple of 9713 and 9721 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9713 and 9721, than apply into the LCM equation.

GCF(9713,9721) = 1
LCM(9713,9721) = ( 9713 × 9721) / 1
LCM(9713,9721) = 94420073 / 1
LCM(9713,9721) = 94420073

Properties of LCM 9713 and 9721

(i) The LCM of 9721 and 9713 is associative

LCM of 9713 and 9721 = LCM of 9721 and 9713

Related Least Common Multiples of 9713

Related Least Common Multiples of 9721

Frequently Asked Questions on LCM of 9713 and 9721

1. What is the LCM of 9713 and 9721?

Answer: LCM of 9713 and 9721 is 94420073.

2. What are the Factors of 9713?

Answer: Factors of 9713 are 1, 11, 883, 9713. There are 4 integers that are factors of 9713. The greatest factor of 9713 is 9713.

3. What are the Factors of 9721?

Answer: Factors of 9721 are 1, 9721. There are 2 integers that are factors of 9721. The greatest factor of 9721 is 9721.

4. How to Find the LCM of 9713 and 9721?

Answer:

Least Common Multiple of 9713 and 9721 = 94420073

Step 1: Find the prime factorization of 9713

9713 = 11 x 883

Step 2: Find the prime factorization of 9721

9721 = 9721

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

LCM = 94420073 = 11 x 883 x 9721

Step 4: Therefore, the least common multiple of 9713 and 9721 is 94420073.