Least Common Multiple of 683 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 683 and 686 the smallest integer that is 468538 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 686 is 468538.

LCM(683,686) = 468538

LCM of 683 and 686

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

LCM of:
and

Least Common Multiple of 683 and 686

LCM of 683 and 686 is 468538

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 686. First we will calculate the prime factors of 683 and 686.

Prime Factorization of 683


683 683
1

Prime factors of 683 are 683. Prime factorization of 683 in exponential form is:

683 = 6831

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 683 and 686.

LCM(683,686) = 21×73×6831
LCM(683,686) = 468538

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1, 683

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 683 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 683 and 686, than apply into the LCM equation.

GCF(683,686) = 1
LCM(683,686) = ( 683 × 686) / 1
LCM(683,686) = 468538 / 1
LCM(683,686) = 468538

Properties of LCM 683 and 686

(i) The LCM of 686 and 683 is associative

LCM of 683 and 686 = LCM of 686 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 686

Frequently Asked Questions on LCM of 683 and 686

1. What is the LCM of 683 and 686?

Answer: LCM of 683 and 686 is 468538.

2. What are the Factors of 683?

Answer: Factors of 683 are 1, 683. There are 2 integers that are factors of 683. The greatest factor of 683 is 683.

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 683 and 686?

Answer:

Least Common Multiple of 683 and 686 = 468538

Step 1: Find the prime factorization of 683

683 = 683

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 = 468538 = 2 x 7 x 7 x 7 x 683

Step 4: Therefore, the least common multiple of 683 and 686 is 468538.