Least Common Multiple of 9680 and 9686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9680 and 9686 the smallest integer that is 46880240 that is divisible by both numbers.

Least Common Multiple (LCM) of 9680 and 9686 is 46880240.

LCM(9680,9686) = 46880240

LCM of 9680 and 9686

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

LCM of:
and

Least Common Multiple of 9680 and 9686

LCM of 9680 and 9686 is 46880240

Least common multiple can be found by multiplying the highest exponent prime factors of 9680 and 9686. First we will calculate the prime factors of 9680 and 9686.

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

Prime Factorization of 9686


2 9686
29 4843
167 167
1

Prime factors of 9686 are 2, 29,167. Prime factorization of 9686 in exponential form is:

9686 = 21×291×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 9680 and 9686.

LCM(9680,9686) = 24×51×112×291×1671
LCM(9680,9686) = 46880240

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

Factors of 9686

List of positive integer factors of 9686 that divides 9686 without a remainder.

1, 2, 29, 58, 167, 334, 4843, 9686

Least Common Multiple of 9680 and 9686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9680 and 9686, than apply into the LCM equation.

GCF(9680,9686) = 2
LCM(9680,9686) = ( 9680 × 9686) / 2
LCM(9680,9686) = 93760480 / 2
LCM(9680,9686) = 46880240

Properties of LCM 9680 and 9686

(i) The LCM of 9686 and 9680 is associative

LCM of 9680 and 9686 = LCM of 9686 and 9680

Related Least Common Multiples of 9680

Related Least Common Multiples of 9686

Frequently Asked Questions on LCM of 9680 and 9686

1. What is the LCM of 9680 and 9686?

Answer: LCM of 9680 and 9686 is 46880240.

2. 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.

3. What are the Factors of 9686?

Answer: Factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686. There are 8 integers that are factors of 9686. The greatest factor of 9686 is 9686.

4. How to Find the LCM of 9680 and 9686?

Answer:

Least Common Multiple of 9680 and 9686 = 46880240

Step 1: Find the prime factorization of 9680

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

Step 2: Find the prime factorization of 9686

9686 = 2 x 29 x 167

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

LCM = 46880240 = 2 x 2 x 2 x 2 x 5 x 11 x 11 x 29 x 167

Step 4: Therefore, the least common multiple of 9680 and 9686 is 46880240.