Least Common Multiple of 5690 and 5697

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 5697 the smallest integer that is 32415930 that is divisible by both numbers.

Least Common Multiple (LCM) of 5690 and 5697 is 32415930.

LCM(5690,5697) = 32415930

LCM of 5690 and 5697

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

LCM of:
and

Least Common Multiple of 5690 and 5697

LCM of 5690 and 5697 is 32415930

Least common multiple can be found by multiplying the highest exponent prime factors of 5690 and 5697. First we will calculate the prime factors of 5690 and 5697.

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 5697


3 5697
3 1899
3 633
211 211
1

Prime factors of 5697 are 3,211. Prime factorization of 5697 in exponential form is:

5697 = 33×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5690 and 5697.

LCM(5690,5697) = 21×33×51×2111×5691
LCM(5690,5697) = 32415930

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 5697

List of positive integer factors of 5697 that divides 5697 without a remainder.

1, 3, 9, 27, 211, 633, 1899, 5697

Least Common Multiple of 5690 and 5697 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 5697, than apply into the LCM equation.

GCF(5690,5697) = 1
LCM(5690,5697) = ( 5690 × 5697) / 1
LCM(5690,5697) = 32415930 / 1
LCM(5690,5697) = 32415930

Properties of LCM 5690 and 5697

(i) The LCM of 5697 and 5690 is associative

LCM of 5690 and 5697 = LCM of 5697 and 5690

Related Least Common Multiples of 5690

Related Least Common Multiples of 5697

Frequently Asked Questions on LCM of 5690 and 5697

1. What is the LCM of 5690 and 5697?

Answer: LCM of 5690 and 5697 is 32415930.

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 5697?

Answer: Factors of 5697 are 1, 3, 9, 27, 211, 633, 1899, 5697. There are 8 integers that are factors of 5697. The greatest factor of 5697 is 5697.

4. How to Find the LCM of 5690 and 5697?

Answer:

Least Common Multiple of 5690 and 5697 = 32415930

Step 1: Find the prime factorization of 5690

5690 = 2 x 5 x 569

Step 2: Find the prime factorization of 5697

5697 = 3 x 3 x 3 x 211

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

LCM = 32415930 = 2 x 3 x 3 x 3 x 5 x 211 x 569

Step 4: Therefore, the least common multiple of 5690 and 5697 is 32415930.