Least Common Multiple of 686 and 691

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 691 the smallest integer that is 474026 that is divisible by both numbers.

Least Common Multiple (LCM) of 686 and 691 is 474026.

LCM(686,691) = 474026

LCM of 686 and 691

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

LCM of:
and

Least Common Multiple of 686 and 691

LCM of 686 and 691 is 474026

Least common multiple can be found by multiplying the highest exponent prime factors of 686 and 691. First we will calculate the prime factors of 686 and 691.

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 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Now multiplying the highest exponent prime factors to calculate the LCM of 686 and 691.

LCM(686,691) = 21×73×6911
LCM(686,691) = 474026

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 691

List of positive integer factors of 691 that divides 691 without a remainder.

1, 691

Least Common Multiple of 686 and 691 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 691, than apply into the LCM equation.

GCF(686,691) = 1
LCM(686,691) = ( 686 × 691) / 1
LCM(686,691) = 474026 / 1
LCM(686,691) = 474026

Properties of LCM 686 and 691

(i) The LCM of 691 and 686 is associative

LCM of 686 and 691 = LCM of 691 and 686

Related Least Common Multiples of 686

Related Least Common Multiples of 691

Frequently Asked Questions on LCM of 686 and 691

1. What is the LCM of 686 and 691?

Answer: LCM of 686 and 691 is 474026.

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 691?

Answer: Factors of 691 are 1, 691. There are 2 integers that are factors of 691. The greatest factor of 691 is 691.

4. How to Find the LCM of 686 and 691?

Answer:

Least Common Multiple of 686 and 691 = 474026

Step 1: Find the prime factorization of 686

686 = 2 x 7 x 7 x 7

Step 2: Find the prime factorization of 691

691 = 691

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

LCM = 474026 = 2 x 7 x 7 x 7 x 691

Step 4: Therefore, the least common multiple of 686 and 691 is 474026.