Least Common Multiple of 8680 and 8686

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 8686 the smallest integer that is 37697240 that is divisible by both numbers.

Least Common Multiple (LCM) of 8680 and 8686 is 37697240.

LCM(8680,8686) = 37697240

LCM of 8680 and 8686

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

LCM of:
and

Least Common Multiple of 8680 and 8686

LCM of 8680 and 8686 is 37697240

Least common multiple can be found by multiplying the highest exponent prime factors of 8680 and 8686. First we will calculate the prime factors of 8680 and 8686.

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 8686


2 8686
43 4343
101 101
1

Prime factors of 8686 are 2, 43,101. Prime factorization of 8686 in exponential form is:

8686 = 21×431×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 8680 and 8686.

LCM(8680,8686) = 23×51×71×311×431×1011
LCM(8680,8686) = 37697240

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 8686

List of positive integer factors of 8686 that divides 8686 without a remainder.

1, 2, 43, 86, 101, 202, 4343, 8686

Least Common Multiple of 8680 and 8686 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 8686, than apply into the LCM equation.

GCF(8680,8686) = 2
LCM(8680,8686) = ( 8680 × 8686) / 2
LCM(8680,8686) = 75394480 / 2
LCM(8680,8686) = 37697240

Properties of LCM 8680 and 8686

(i) The LCM of 8686 and 8680 is associative

LCM of 8680 and 8686 = LCM of 8686 and 8680

Related Least Common Multiples of 8680

Related Least Common Multiples of 8686

Frequently Asked Questions on LCM of 8680 and 8686

1. What is the LCM of 8680 and 8686?

Answer: LCM of 8680 and 8686 is 37697240.

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 8686?

Answer: Factors of 8686 are 1, 2, 43, 86, 101, 202, 4343, 8686. There are 8 integers that are factors of 8686. The greatest factor of 8686 is 8686.

4. How to Find the LCM of 8680 and 8686?

Answer:

Least Common Multiple of 8680 and 8686 = 37697240

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 8686

8686 = 2 x 43 x 101

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

LCM = 37697240 = 2 x 2 x 2 x 5 x 7 x 31 x 43 x 101

Step 4: Therefore, the least common multiple of 8680 and 8686 is 37697240.