Least Common Multiple of 5690 and 5694

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 5694 the smallest integer that is 16199430 that is divisible by both numbers.

Least Common Multiple (LCM) of 5690 and 5694 is 16199430.

LCM(5690,5694) = 16199430

LCM of 5690 and 5694

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

LCM of:
and

Least Common Multiple of 5690 and 5694

LCM of 5690 and 5694 is 16199430

Least common multiple can be found by multiplying the highest exponent prime factors of 5690 and 5694. First we will calculate the prime factors of 5690 and 5694.

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 5694


2 5694
3 2847
13 949
73 73
1

Prime factors of 5694 are 2, 3, 13,73. Prime factorization of 5694 in exponential form is:

5694 = 21×31×131×731

Now multiplying the highest exponent prime factors to calculate the LCM of 5690 and 5694.

LCM(5690,5694) = 21×31×51×131×731×5691
LCM(5690,5694) = 16199430

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 5694

List of positive integer factors of 5694 that divides 5694 without a remainder.

1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694

Least Common Multiple of 5690 and 5694 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 5694, than apply into the LCM equation.

GCF(5690,5694) = 2
LCM(5690,5694) = ( 5690 × 5694) / 2
LCM(5690,5694) = 32398860 / 2
LCM(5690,5694) = 16199430

Properties of LCM 5690 and 5694

(i) The LCM of 5694 and 5690 is associative

LCM of 5690 and 5694 = LCM of 5694 and 5690

Related Least Common Multiples of 5690

Related Least Common Multiples of 5694

Frequently Asked Questions on LCM of 5690 and 5694

1. What is the LCM of 5690 and 5694?

Answer: LCM of 5690 and 5694 is 16199430.

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 5694?

Answer: Factors of 5694 are 1, 2, 3, 6, 13, 26, 39, 73, 78, 146, 219, 438, 949, 1898, 2847, 5694. There are 16 integers that are factors of 5694. The greatest factor of 5694 is 5694.

4. How to Find the LCM of 5690 and 5694?

Answer:

Least Common Multiple of 5690 and 5694 = 16199430

Step 1: Find the prime factorization of 5690

5690 = 2 x 5 x 569

Step 2: Find the prime factorization of 5694

5694 = 2 x 3 x 13 x 73

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

LCM = 16199430 = 2 x 3 x 5 x 13 x 73 x 569

Step 4: Therefore, the least common multiple of 5690 and 5694 is 16199430.