Least Common Multiple of 683 and 689

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 689 the smallest integer that is 470587 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 689 is 470587.

LCM(683,689) = 470587

LCM of 683 and 689

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

LCM of:
and

Least Common Multiple of 683 and 689

LCM of 683 and 689 is 470587

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 689. First we will calculate the prime factors of 683 and 689.

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 689


13 689
53 53
1

Prime factors of 689 are 13,53. Prime factorization of 689 in exponential form is:

689 = 131×531

Now multiplying the highest exponent prime factors to calculate the LCM of 683 and 689.

LCM(683,689) = 131×531×6831
LCM(683,689) = 470587

Factors of 683

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

1, 683

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Least Common Multiple of 683 and 689 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 689, than apply into the LCM equation.

GCF(683,689) = 1
LCM(683,689) = ( 683 × 689) / 1
LCM(683,689) = 470587 / 1
LCM(683,689) = 470587

Properties of LCM 683 and 689

(i) The LCM of 689 and 683 is associative

LCM of 683 and 689 = LCM of 689 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 689

Frequently Asked Questions on LCM of 683 and 689

1. What is the LCM of 683 and 689?

Answer: LCM of 683 and 689 is 470587.

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 689?

Answer: Factors of 689 are 1, 13, 53, 689. There are 4 integers that are factors of 689. The greatest factor of 689 is 689.

4. How to Find the LCM of 683 and 689?

Answer:

Least Common Multiple of 683 and 689 = 470587

Step 1: Find the prime factorization of 683

683 = 683

Step 2: Find the prime factorization of 689

689 = 13 x 53

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

LCM = 470587 = 13 x 53 x 683

Step 4: Therefore, the least common multiple of 683 and 689 is 470587.