Least Common Multiple of 683 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 683 and 691 the smallest integer that is 471953 that is divisible by both numbers.

Least Common Multiple (LCM) of 683 and 691 is 471953.

LCM(683,691) = 471953

LCM of 683 and 691

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

LCM of:
and

Least Common Multiple of 683 and 691

LCM of 683 and 691 is 471953

Least common multiple can be found by multiplying the highest exponent prime factors of 683 and 691. First we will calculate the prime factors of 683 and 691.

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 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 683 and 691.

LCM(683,691) = 6831×6911
LCM(683,691) = 471953

Factors of 683

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

1, 683

Factors of 691

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

1, 691

Least Common Multiple of 683 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 683 and 691, than apply into the LCM equation.

GCF(683,691) = 1
LCM(683,691) = ( 683 × 691) / 1
LCM(683,691) = 471953 / 1
LCM(683,691) = 471953

Properties of LCM 683 and 691

(i) The LCM of 691 and 683 is associative

LCM of 683 and 691 = LCM of 691 and 683

Related Least Common Multiples of 683

Related Least Common Multiples of 691

Frequently Asked Questions on LCM of 683 and 691

1. What is the LCM of 683 and 691?

Answer: LCM of 683 and 691 is 471953.

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 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 683 and 691?

Answer:

Least Common Multiple of 683 and 691 = 471953

Step 1: Find the prime factorization of 683

683 = 683

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 = 471953 = 683 x 691

Step 4: Therefore, the least common multiple of 683 and 691 is 471953.