Least Common Multiple of 5694 and 5698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5694 and 5698 the smallest integer that is 16222206 that is divisible by both numbers.

Least Common Multiple (LCM) of 5694 and 5698 is 16222206.

LCM(5694,5698) = 16222206

LCM of 5694 and 5698

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

LCM of:
and

Least Common Multiple of 5694 and 5698

LCM of 5694 and 5698 is 16222206

Least common multiple can be found by multiplying the highest exponent prime factors of 5694 and 5698. First we will calculate the prime factors of 5694 and 5698.

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

Prime Factorization of 5698


2 5698
7 2849
11 407
37 37
1

Prime factors of 5698 are 2, 7, 11,37. Prime factorization of 5698 in exponential form is:

5698 = 21×71×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5694 and 5698.

LCM(5694,5698) = 21×31×71×111×131×371×731
LCM(5694,5698) = 16222206

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

Factors of 5698

List of positive integer factors of 5698 that divides 5698 without a remainder.

1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698

Least Common Multiple of 5694 and 5698 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5694 and 5698, than apply into the LCM equation.

GCF(5694,5698) = 2
LCM(5694,5698) = ( 5694 × 5698) / 2
LCM(5694,5698) = 32444412 / 2
LCM(5694,5698) = 16222206

Properties of LCM 5694 and 5698

(i) The LCM of 5698 and 5694 is associative

LCM of 5694 and 5698 = LCM of 5698 and 5694

Related Least Common Multiples of 5694

Related Least Common Multiples of 5698

Frequently Asked Questions on LCM of 5694 and 5698

1. What is the LCM of 5694 and 5698?

Answer: LCM of 5694 and 5698 is 16222206.

2. 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.

3. What are the Factors of 5698?

Answer: Factors of 5698 are 1, 2, 7, 11, 14, 22, 37, 74, 77, 154, 259, 407, 518, 814, 2849, 5698. There are 16 integers that are factors of 5698. The greatest factor of 5698 is 5698.

4. How to Find the LCM of 5694 and 5698?

Answer:

Least Common Multiple of 5694 and 5698 = 16222206

Step 1: Find the prime factorization of 5694

5694 = 2 x 3 x 13 x 73

Step 2: Find the prime factorization of 5698

5698 = 2 x 7 x 11 x 37

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

LCM = 16222206 = 2 x 3 x 7 x 11 x 13 x 37 x 73

Step 4: Therefore, the least common multiple of 5694 and 5698 is 16222206.