Least Common Multiple of 696 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 696 and 697 the smallest integer that is 485112 that is divisible by both numbers.

Least Common Multiple (LCM) of 696 and 697 is 485112.

LCM(696,697) = 485112

LCM of 696 and 697

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

LCM of:
and

Least Common Multiple of 696 and 697

LCM of 696 and 697 is 485112

Least common multiple can be found by multiplying the highest exponent prime factors of 696 and 697. First we will calculate the prime factors of 696 and 697.

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

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 696 and 697.

LCM(696,697) = 23×31×171×291×411
LCM(696,697) = 485112

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

Factors of 697

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

1, 17, 41, 697

Least Common Multiple of 696 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 696 and 697, than apply into the LCM equation.

GCF(696,697) = 1
LCM(696,697) = ( 696 × 697) / 1
LCM(696,697) = 485112 / 1
LCM(696,697) = 485112

Properties of LCM 696 and 697

(i) The LCM of 697 and 696 is associative

LCM of 696 and 697 = LCM of 697 and 696

Related Least Common Multiples of 696

Related Least Common Multiples of 697

Frequently Asked Questions on LCM of 696 and 697

1. What is the LCM of 696 and 697?

Answer: LCM of 696 and 697 is 485112.

2. 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.

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 696 and 697?

Answer:

Least Common Multiple of 696 and 697 = 485112

Step 1: Find the prime factorization of 696

696 = 2 x 2 x 2 x 3 x 29

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 = 485112 = 2 x 2 x 2 x 3 x 17 x 29 x 41

Step 4: Therefore, the least common multiple of 696 and 697 is 485112.