Least Common Multiple of 680 and 686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 680 and 686 the smallest integer that is 233240 that is divisible by both numbers.

Least Common Multiple (LCM) of 680 and 686 is 233240.

LCM(680,686) = 233240

LCM of 680 and 686

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

LCM of:
and

Least Common Multiple of 680 and 686

LCM of 680 and 686 is 233240

Least common multiple can be found by multiplying the highest exponent prime factors of 680 and 686. First we will calculate the prime factors of 680 and 686.

Prime Factorization of 680


2 680
2 340
2 170
5 85
17 17
1

Prime factors of 680 are 2, 5,17. Prime factorization of 680 in exponential form is:

680 = 23×51×171

Prime Factorization of 686


2 686
7 343
7 49
7 7
1

Prime factors of 686 are 2,7. Prime factorization of 686 in exponential form is:

686 = 21×73

Now multiplying the highest exponent prime factors to calculate the LCM of 680 and 686.

LCM(680,686) = 23×51×73×171
LCM(680,686) = 233240

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Least Common Multiple of 680 and 686 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 680 and 686, than apply into the LCM equation.

GCF(680,686) = 2
LCM(680,686) = ( 680 × 686) / 2
LCM(680,686) = 466480 / 2
LCM(680,686) = 233240

Properties of LCM 680 and 686

(i) The LCM of 686 and 680 is associative

LCM of 680 and 686 = LCM of 686 and 680

Related Least Common Multiples of 680

Related Least Common Multiples of 686

Frequently Asked Questions on LCM of 680 and 686

1. What is the LCM of 680 and 686?

Answer: LCM of 680 and 686 is 233240.

2. What are the Factors of 680?

Answer: Factors of 680 are 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680. There are 16 integers that are factors of 680. The greatest factor of 680 is 680.

3. What are the Factors of 686?

Answer: Factors of 686 are 1, 2, 7, 14, 49, 98, 343, 686. There are 8 integers that are factors of 686. The greatest factor of 686 is 686.

4. How to Find the LCM of 680 and 686?

Answer:

Least Common Multiple of 680 and 686 = 233240

Step 1: Find the prime factorization of 680

680 = 2 x 2 x 2 x 5 x 17

Step 2: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

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

LCM = 233240 = 2 x 2 x 2 x 5 x 7 x 7 x 7 x 17

Step 4: Therefore, the least common multiple of 680 and 686 is 233240.