Least Common Multiple of 691 and 696

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 696 the smallest integer that is 480936 that is divisible by both numbers.

Least Common Multiple (LCM) of 691 and 696 is 480936.

LCM(691,696) = 480936

LCM of 691 and 696

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

LCM of:
and

Least Common Multiple of 691 and 696

LCM of 691 and 696 is 480936

Least common multiple can be found by multiplying the highest exponent prime factors of 691 and 696. First we will calculate the prime factors of 691 and 696.

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 696


2 696
2 348
2 174
3 87
29 29
1

Prime factors of 696 are 2, 3,29. Prime factorization of 696 in exponential form is:

696 = 23×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 691 and 696.

LCM(691,696) = 23×31×291×6911
LCM(691,696) = 480936

Factors of 691

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

1, 691

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Least Common Multiple of 691 and 696 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 696, than apply into the LCM equation.

GCF(691,696) = 1
LCM(691,696) = ( 691 × 696) / 1
LCM(691,696) = 480936 / 1
LCM(691,696) = 480936

Properties of LCM 691 and 696

(i) The LCM of 696 and 691 is associative

LCM of 691 and 696 = LCM of 696 and 691

Related Least Common Multiples of 691

Related Least Common Multiples of 696

Frequently Asked Questions on LCM of 691 and 696

1. What is the LCM of 691 and 696?

Answer: LCM of 691 and 696 is 480936.

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 696?

Answer: Factors of 696 are 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696. There are 16 integers that are factors of 696. The greatest factor of 696 is 696.

4. How to Find the LCM of 691 and 696?

Answer:

Least Common Multiple of 691 and 696 = 480936

Step 1: Find the prime factorization of 691

691 = 691

Step 2: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

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

LCM = 480936 = 2 x 2 x 2 x 3 x 29 x 691

Step 4: Therefore, the least common multiple of 691 and 696 is 480936.