Least Common Multiple of 5689 and 5696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5689 and 5696 the smallest integer that is 32404544 that is divisible by both numbers.

Least Common Multiple (LCM) of 5689 and 5696 is 32404544.

LCM(5689,5696) = 32404544

LCM of 5689 and 5696

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

LCM of:
and

Least Common Multiple of 5689 and 5696

LCM of 5689 and 5696 is 32404544

Least common multiple can be found by multiplying the highest exponent prime factors of 5689 and 5696. First we will calculate the prime factors of 5689 and 5696.

Prime Factorization of 5689


5689 5689
1

Prime factors of 5689 are 5689. Prime factorization of 5689 in exponential form is:

5689 = 56891

Prime Factorization of 5696


2 5696
2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 5696 are 2,89. Prime factorization of 5696 in exponential form is:

5696 = 26×891

Now multiplying the highest exponent prime factors to calculate the LCM of 5689 and 5696.

LCM(5689,5696) = 26×891×56891
LCM(5689,5696) = 32404544

Factors of 5689

List of positive integer factors of 5689 that divides 5689 without a remainder.

1, 5689

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

Least Common Multiple of 5689 and 5696 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5689 and 5696, than apply into the LCM equation.

GCF(5689,5696) = 1
LCM(5689,5696) = ( 5689 × 5696) / 1
LCM(5689,5696) = 32404544 / 1
LCM(5689,5696) = 32404544

Properties of LCM 5689 and 5696

(i) The LCM of 5696 and 5689 is associative

LCM of 5689 and 5696 = LCM of 5696 and 5689

Related Least Common Multiples of 5689

Related Least Common Multiples of 5696

Frequently Asked Questions on LCM of 5689 and 5696

1. What is the LCM of 5689 and 5696?

Answer: LCM of 5689 and 5696 is 32404544.

2. What are the Factors of 5689?

Answer: Factors of 5689 are 1, 5689. There are 2 integers that are factors of 5689. The greatest factor of 5689 is 5689.

3. What are the Factors of 5696?

Answer: Factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696. There are 14 integers that are factors of 5696. The greatest factor of 5696 is 5696.

4. How to Find the LCM of 5689 and 5696?

Answer:

Least Common Multiple of 5689 and 5696 = 32404544

Step 1: Find the prime factorization of 5689

5689 = 5689

Step 2: Find the prime factorization of 5696

5696 = 2 x 2 x 2 x 2 x 2 x 2 x 89

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

LCM = 32404544 = 2 x 2 x 2 x 2 x 2 x 2 x 89 x 5689

Step 4: Therefore, the least common multiple of 5689 and 5696 is 32404544.