Least Common Multiple of 691 and 697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 691 and 697 the smallest integer that is 481627 that is divisible by both numbers.

Least Common Multiple (LCM) of 691 and 697 is 481627.

LCM(691,697) = 481627

LCM of 691 and 697

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

LCM of:
and

Least Common Multiple of 691 and 697

LCM of 691 and 697 is 481627

Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 697. First we will calculate the prime factors of 691 and 697.

Prime Factorization of 691


691 691
1

Prime factors of 691 are 691. Prime factorization of 691 in exponential form is:

691 = 6911

Prime Factorization of 697


17 697
41 41
1

Prime factors of 697 are 17,41. Prime factorization of 697 in exponential form is:

697 = 171×411

Now multiplying the highest exponent prime factors to calculate the LCM of 691 and 697.

LCM(691,697) = 171×411×6911
LCM(691,697) = 481627

Factors of 691

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

1, 691

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Least Common Multiple of 691 and 697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 691 and 697, than apply into the LCM equation.

GCF(691,697) = 1
LCM(691,697) = ( 691 × 697) / 1
LCM(691,697) = 481627 / 1
LCM(691,697) = 481627

Properties of LCM 691 and 697

(i) The LCM of 697 and 691 is associative

LCM of 691 and 697 = LCM of 697 and 691

Related Least Common Multiples of 691

Related Least Common Multiples of 697

Frequently Asked Questions on LCM of 691 and 697

1. What is the LCM of 691 and 697?

Answer: LCM of 691 and 697 is 481627.

2. 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.

3. What are the Factors of 697?

Answer: Factors of 697 are 1, 17, 41, 697. There are 4 integers that are factors of 697. The greatest factor of 697 is 697.

4. How to Find the LCM of 691 and 697?

Answer:

Least Common Multiple of 691 and 697 = 481627

Step 1: Find the prime factorization of 691

691 = 691

Step 2: Find the prime factorization of 697

697 = 17 x 41

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

LCM = 481627 = 17 x 41 x 691

Step 4: Therefore, the least common multiple of 691 and 697 is 481627.