Least Common Multiple of 687 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 687 and 691 the smallest integer that is 474717 that is divisible by both numbers.

Least Common Multiple (LCM) of 687 and 691 is 474717.

LCM(687,691) = 474717

LCM of 687 and 691

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

LCM of:
and

Least Common Multiple of 687 and 691

LCM of 687 and 691 is 474717

Least common multiple can be found by multiplying the highest exponent prime factors of 687 and 691. First we will calculate the prime factors of 687 and 691.

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

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 687 and 691.

LCM(687,691) = 31×2291×6911
LCM(687,691) = 474717

Factors of 687

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

1, 3, 229, 687

Factors of 691

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

1, 691

Least Common Multiple of 687 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 687 and 691, than apply into the LCM equation.

GCF(687,691) = 1
LCM(687,691) = ( 687 × 691) / 1
LCM(687,691) = 474717 / 1
LCM(687,691) = 474717

Properties of LCM 687 and 691

(i) The LCM of 691 and 687 is associative

LCM of 687 and 691 = LCM of 691 and 687

Related Least Common Multiples of 687

Related Least Common Multiples of 691

Frequently Asked Questions on LCM of 687 and 691

1. What is the LCM of 687 and 691?

Answer: LCM of 687 and 691 is 474717.

2. 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.

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 687 and 691?

Answer:

Least Common Multiple of 687 and 691 = 474717

Step 1: Find the prime factorization of 687

687 = 3 x 229

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 = 474717 = 3 x 229 x 691

Step 4: Therefore, the least common multiple of 687 and 691 is 474717.