Least Common Multiple of 5689 and 5695

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 5695 the smallest integer that is 32398855 that is divisible by both numbers.

Least Common Multiple (LCM) of 5689 and 5695 is 32398855.

LCM(5689,5695) = 32398855

LCM of 5689 and 5695

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

LCM of:
and

Least Common Multiple of 5689 and 5695

LCM of 5689 and 5695 is 32398855

Least common multiple can be found by multiplying the highest exponent prime factors of 5689 and 5695. First we will calculate the prime factors of 5689 and 5695.

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 5695


5 5695
17 1139
67 67
1

Prime factors of 5695 are 5, 17,67. Prime factorization of 5695 in exponential form is:

5695 = 51×171×671

Now multiplying the highest exponent prime factors to calculate the LCM of 5689 and 5695.

LCM(5689,5695) = 51×171×671×56891
LCM(5689,5695) = 32398855

Factors of 5689

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

1, 5689

Factors of 5695

List of positive integer factors of 5695 that divides 5695 without a remainder.

1, 5, 17, 67, 85, 335, 1139, 5695

Least Common Multiple of 5689 and 5695 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 5695, than apply into the LCM equation.

GCF(5689,5695) = 1
LCM(5689,5695) = ( 5689 × 5695) / 1
LCM(5689,5695) = 32398855 / 1
LCM(5689,5695) = 32398855

Properties of LCM 5689 and 5695

(i) The LCM of 5695 and 5689 is associative

LCM of 5689 and 5695 = LCM of 5695 and 5689

Related Least Common Multiples of 5689

Related Least Common Multiples of 5695

Frequently Asked Questions on LCM of 5689 and 5695

1. What is the LCM of 5689 and 5695?

Answer: LCM of 5689 and 5695 is 32398855.

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 5695?

Answer: Factors of 5695 are 1, 5, 17, 67, 85, 335, 1139, 5695. There are 8 integers that are factors of 5695. The greatest factor of 5695 is 5695.

4. How to Find the LCM of 5689 and 5695?

Answer:

Least Common Multiple of 5689 and 5695 = 32398855

Step 1: Find the prime factorization of 5689

5689 = 5689

Step 2: Find the prime factorization of 5695

5695 = 5 x 17 x 67

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

LCM = 32398855 = 5 x 17 x 67 x 5689

Step 4: Therefore, the least common multiple of 5689 and 5695 is 32398855.