Least Common Multiple of 683 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 683 and 687 the smallest integer that is 469221 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 687 is 469221.

LCM(683,687) = 469221

LCM of 683 and 687

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

LCM of:
and

Least Common Multiple of 683 and 687

LCM of 683 and 687 is 469221

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 687. First we will calculate the prime factors of 683 and 687.

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 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 683 and 687.

LCM(683,687) = 31×2291×6831
LCM(683,687) = 469221

Factors of 683

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

1, 683

Factors of 687

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

1, 3, 229, 687

Least Common Multiple of 683 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 683 and 687, than apply into the LCM equation.

GCF(683,687) = 1
LCM(683,687) = ( 683 × 687) / 1
LCM(683,687) = 469221 / 1
LCM(683,687) = 469221

Properties of LCM 683 and 687

(i) The LCM of 687 and 683 is associative

LCM of 683 and 687 = LCM of 687 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 687

Frequently Asked Questions on LCM of 683 and 687

1. What is the LCM of 683 and 687?

Answer: LCM of 683 and 687 is 469221.

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 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 683 and 687?

Answer:

Least Common Multiple of 683 and 687 = 469221

Step 1: Find the prime factorization of 683

683 = 683

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 = 469221 = 3 x 229 x 683

Step 4: Therefore, the least common multiple of 683 and 687 is 469221.