Least Common Multiple of 8680 and 8682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8680 and 8682 the smallest integer that is 37679880 that is divisible by both numbers.

Least Common Multiple (LCM) of 8680 and 8682 is 37679880.

LCM(8680,8682) = 37679880

LCM of 8680 and 8682

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

LCM of:
and

Least Common Multiple of 8680 and 8682

LCM of 8680 and 8682 is 37679880

Least common multiple can be found by multiplying the highest exponent prime factors of 8680 and 8682. First we will calculate the prime factors of 8680 and 8682.

Prime Factorization of 8680


2 8680
2 4340
2 2170
5 1085
7 217
31 31
1

Prime factors of 8680 are 2, 5, 7,31. Prime factorization of 8680 in exponential form is:

8680 = 23×51×71×311

Prime Factorization of 8682


2 8682
3 4341
1447 1447
1

Prime factors of 8682 are 2, 3,1447. Prime factorization of 8682 in exponential form is:

8682 = 21×31×14471

Now multiplying the highest exponent prime factors to calculate the LCM of 8680 and 8682.

LCM(8680,8682) = 23×31×51×71×311×14471
LCM(8680,8682) = 37679880

Factors of 8680

List of positive integer factors of 8680 that divides 8680 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680

Factors of 8682

List of positive integer factors of 8682 that divides 8682 without a remainder.

1, 2, 3, 6, 1447, 2894, 4341, 8682

Least Common Multiple of 8680 and 8682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8680 and 8682, than apply into the LCM equation.

GCF(8680,8682) = 2
LCM(8680,8682) = ( 8680 × 8682) / 2
LCM(8680,8682) = 75359760 / 2
LCM(8680,8682) = 37679880

Properties of LCM 8680 and 8682

(i) The LCM of 8682 and 8680 is associative

LCM of 8680 and 8682 = LCM of 8682 and 8680

Related Least Common Multiples of 8680

Related Least Common Multiples of 8682

Frequently Asked Questions on LCM of 8680 and 8682

1. What is the LCM of 8680 and 8682?

Answer: LCM of 8680 and 8682 is 37679880.

2. What are the Factors of 8680?

Answer: Factors of 8680 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 31, 35, 40, 56, 62, 70, 124, 140, 155, 217, 248, 280, 310, 434, 620, 868, 1085, 1240, 1736, 2170, 4340, 8680. There are 32 integers that are factors of 8680. The greatest factor of 8680 is 8680.

3. What are the Factors of 8682?

Answer: Factors of 8682 are 1, 2, 3, 6, 1447, 2894, 4341, 8682. There are 8 integers that are factors of 8682. The greatest factor of 8682 is 8682.

4. How to Find the LCM of 8680 and 8682?

Answer:

Least Common Multiple of 8680 and 8682 = 37679880

Step 1: Find the prime factorization of 8680

8680 = 2 x 2 x 2 x 5 x 7 x 31

Step 2: Find the prime factorization of 8682

8682 = 2 x 3 x 1447

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

LCM = 37679880 = 2 x 2 x 2 x 3 x 5 x 7 x 31 x 1447

Step 4: Therefore, the least common multiple of 8680 and 8682 is 37679880.