Least Common Multiple of 5690 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 5690 and 5696 the smallest integer that is 16205120 that is divisible by both numbers.

Least Common Multiple (LCM) of 5690 and 5696 is 16205120.

LCM(5690,5696) = 16205120

LCM of 5690 and 5696

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

LCM of:
and

Least Common Multiple of 5690 and 5696

LCM of 5690 and 5696 is 16205120

Least common multiple can be found by multiplying the highest exponent prime factors of 5690 and 5696. First we will calculate the prime factors of 5690 and 5696.

Prime Factorization of 5690


2 5690
5 2845
569 569
1

Prime factors of 5690 are 2, 5,569. Prime factorization of 5690 in exponential form is:

5690 = 21×51×5691

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 5690 and 5696.

LCM(5690,5696) = 26×51×891×5691
LCM(5690,5696) = 16205120

Factors of 5690

List of positive integer factors of 5690 that divides 5690 without a remainder.

1, 2, 5, 10, 569, 1138, 2845, 5690

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 5690 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 5690 and 5696, than apply into the LCM equation.

GCF(5690,5696) = 2
LCM(5690,5696) = ( 5690 × 5696) / 2
LCM(5690,5696) = 32410240 / 2
LCM(5690,5696) = 16205120

Properties of LCM 5690 and 5696

(i) The LCM of 5696 and 5690 is associative

LCM of 5690 and 5696 = LCM of 5696 and 5690

Related Least Common Multiples of 5690

Related Least Common Multiples of 5696

Frequently Asked Questions on LCM of 5690 and 5696

1. What is the LCM of 5690 and 5696?

Answer: LCM of 5690 and 5696 is 16205120.

2. What are the Factors of 5690?

Answer: Factors of 5690 are 1, 2, 5, 10, 569, 1138, 2845, 5690. There are 8 integers that are factors of 5690. The greatest factor of 5690 is 5690.

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 5690 and 5696?

Answer:

Least Common Multiple of 5690 and 5696 = 16205120

Step 1: Find the prime factorization of 5690

5690 = 2 x 5 x 569

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 = 16205120 = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 89 x 569

Step 4: Therefore, the least common multiple of 5690 and 5696 is 16205120.