Least Common Multiple of 682 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 682 and 687 the smallest integer that is 468534 that is divisible by both numbers.

Least Common Multiple (LCM) of 682 and 687 is 468534.

LCM(682,687) = 468534

LCM of 682 and 687

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

LCM of:
and

Least Common Multiple of 682 and 687

LCM of 682 and 687 is 468534

Least common multiple can be found by multiplying the highest exponent prime factors of 682 and 687. First we will calculate the prime factors of 682 and 687.

Prime Factorization of 682


2 682
11 341
31 31
1

Prime factors of 682 are 2, 11,31. Prime factorization of 682 in exponential form is:

682 = 21×111×311

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 682 and 687.

LCM(682,687) = 21×31×111×311×2291
LCM(682,687) = 468534

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Factors of 687

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

1, 3, 229, 687

Least Common Multiple of 682 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 682 and 687, than apply into the LCM equation.

GCF(682,687) = 1
LCM(682,687) = ( 682 × 687) / 1
LCM(682,687) = 468534 / 1
LCM(682,687) = 468534

Properties of LCM 682 and 687

(i) The LCM of 687 and 682 is associative

LCM of 682 and 687 = LCM of 687 and 682

Related Least Common Multiples of 682

Related Least Common Multiples of 687

Frequently Asked Questions on LCM of 682 and 687

1. What is the LCM of 682 and 687?

Answer: LCM of 682 and 687 is 468534.

2. What are the Factors of 682?

Answer: Factors of 682 are 1, 2, 11, 22, 31, 62, 341, 682. There are 8 integers that are factors of 682. The greatest factor of 682 is 682.

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 682 and 687?

Answer:

Least Common Multiple of 682 and 687 = 468534

Step 1: Find the prime factorization of 682

682 = 2 x 11 x 31

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 = 468534 = 2 x 3 x 11 x 31 x 229

Step 4: Therefore, the least common multiple of 682 and 687 is 468534.