Least Common Multiple of 689 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 689 and 696 the smallest integer that is 479544 that is divisible by both numbers.

Least Common Multiple (LCM) of 689 and 696 is 479544.

LCM(689,696) = 479544

LCM of 689 and 696

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

LCM of:
and

Least Common Multiple of 689 and 696

LCM of 689 and 696 is 479544

Least common multiple can be found by multiplying the highest exponent prime factors of 689 and 696. First we will calculate the prime factors of 689 and 696.

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

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 689 and 696.

LCM(689,696) = 23×31×131×291×531
LCM(689,696) = 479544

Factors of 689

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

1, 13, 53, 689

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 689 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 689 and 696, than apply into the LCM equation.

GCF(689,696) = 1
LCM(689,696) = ( 689 × 696) / 1
LCM(689,696) = 479544 / 1
LCM(689,696) = 479544

Properties of LCM 689 and 696

(i) The LCM of 696 and 689 is associative

LCM of 689 and 696 = LCM of 696 and 689

Related Least Common Multiples of 689

Related Least Common Multiples of 696

Frequently Asked Questions on LCM of 689 and 696

1. What is the LCM of 689 and 696?

Answer: LCM of 689 and 696 is 479544.

2. 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.

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 689 and 696?

Answer:

Least Common Multiple of 689 and 696 = 479544

Step 1: Find the prime factorization of 689

689 = 13 x 53

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 = 479544 = 2 x 2 x 2 x 3 x 13 x 29 x 53

Step 4: Therefore, the least common multiple of 689 and 696 is 479544.