Least Common Multiple of 9673 and 9680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9673 and 9680 the smallest integer that is 93634640 that is divisible by both numbers.

Least Common Multiple (LCM) of 9673 and 9680 is 93634640.

LCM(9673,9680) = 93634640

LCM of 9673 and 9680

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

LCM of:
and

Least Common Multiple of 9673 and 9680

LCM of 9673 and 9680 is 93634640

Least common multiple can be found by multiplying the highest exponent prime factors of 9673 and 9680. First we will calculate the prime factors of 9673 and 9680.

Prime Factorization of 9673


17 9673
569 569
1

Prime factors of 9673 are 17,569. Prime factorization of 9673 in exponential form is:

9673 = 171×5691

Prime Factorization of 9680


2 9680
2 4840
2 2420
2 1210
5 605
11 121
11 11
1

Prime factors of 9680 are 2, 5,11. Prime factorization of 9680 in exponential form is:

9680 = 24×51×112

Now multiplying the highest exponent prime factors to calculate the LCM of 9673 and 9680.

LCM(9673,9680) = 24×51×112×171×5691
LCM(9673,9680) = 93634640

Factors of 9673

List of positive integer factors of 9673 that divides 9673 without a remainder.

1, 17, 569, 9673

Factors of 9680

List of positive integer factors of 9680 that divides 9680 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680

Least Common Multiple of 9673 and 9680 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9673 and 9680, than apply into the LCM equation.

GCF(9673,9680) = 1
LCM(9673,9680) = ( 9673 × 9680) / 1
LCM(9673,9680) = 93634640 / 1
LCM(9673,9680) = 93634640

Properties of LCM 9673 and 9680

(i) The LCM of 9680 and 9673 is associative

LCM of 9673 and 9680 = LCM of 9680 and 9673

Related Least Common Multiples of 9673

Related Least Common Multiples of 9680

Frequently Asked Questions on LCM of 9673 and 9680

1. What is the LCM of 9673 and 9680?

Answer: LCM of 9673 and 9680 is 93634640.

2. What are the Factors of 9673?

Answer: Factors of 9673 are 1, 17, 569, 9673. There are 4 integers that are factors of 9673. The greatest factor of 9673 is 9673.

3. What are the Factors of 9680?

Answer: Factors of 9680 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 121, 176, 220, 242, 440, 484, 605, 880, 968, 1210, 1936, 2420, 4840, 9680. There are 30 integers that are factors of 9680. The greatest factor of 9680 is 9680.

4. How to Find the LCM of 9673 and 9680?

Answer:

Least Common Multiple of 9673 and 9680 = 93634640

Step 1: Find the prime factorization of 9673

9673 = 17 x 569

Step 2: Find the prime factorization of 9680

9680 = 2 x 2 x 2 x 2 x 5 x 11 x 11

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

LCM = 93634640 = 2 x 2 x 2 x 2 x 5 x 11 x 11 x 17 x 569

Step 4: Therefore, the least common multiple of 9673 and 9680 is 93634640.