Least Common Multiple of 686 and 687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 686 and 687 the smallest integer that is 471282 that is divisible by both numbers.

Least Common Multiple (LCM) of 686 and 687 is 471282.

LCM(686,687) = 471282

LCM of 686 and 687

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

LCM of:
and

Least Common Multiple of 686 and 687

LCM of 686 and 687 is 471282

Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 687. First we will calculate the prime factors of 686 and 687.

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

Prime Factorization of 687


3 687
229 229
1

Prime factors of 687 are 3,229. Prime factorization of 687 in exponential form is:

687 = 31×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 686 and 687.

LCM(686,687) = 21×31×73×2291
LCM(686,687) = 471282

Factors of 686

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

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

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Least Common Multiple of 686 and 687 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 686 and 687, than apply into the LCM equation.

GCF(686,687) = 1
LCM(686,687) = ( 686 × 687) / 1
LCM(686,687) = 471282 / 1
LCM(686,687) = 471282

Properties of LCM 686 and 687

(i) The LCM of 687 and 686 is associative

LCM of 686 and 687 = LCM of 687 and 686

Related Least Common Multiples of 686

Related Least Common Multiples of 687

Frequently Asked Questions on LCM of 686 and 687

1. What is the LCM of 686 and 687?

Answer: LCM of 686 and 687 is 471282.

2. 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.

3. What are the Factors of 687?

Answer: Factors of 687 are 1, 3, 229, 687. There are 4 integers that are factors of 687. The greatest factor of 687 is 687.

4. How to Find the LCM of 686 and 687?

Answer:

Least Common Multiple of 686 and 687 = 471282

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 687

687 = 3 x 229

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

LCM = 471282 = 2 x 3 x 7 x 7 x 7 x 229

Step 4: Therefore, the least common multiple of 686 and 687 is 471282.