Least Common Multiple of 5659 and 5663

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5659 and 5663 the smallest integer that is 32046917 that is divisible by both numbers.

Least Common Multiple (LCM) of 5659 and 5663 is 32046917.

LCM(5659,5663) = 32046917

LCM of 5659 and 5663

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

LCM of:
and

Least Common Multiple of 5659 and 5663

LCM of 5659 and 5663 is 32046917

Least common multiple can be found by multiplying the highest exponent prime factors of 5659 and 5663. First we will calculate the prime factors of 5659 and 5663.

Prime Factorization of 5659


5659 5659
1

Prime factors of 5659 are 5659. Prime factorization of 5659 in exponential form is:

5659 = 56591

Prime Factorization of 5663


7 5663
809 809
1

Prime factors of 5663 are 7,809. Prime factorization of 5663 in exponential form is:

5663 = 71×8091

Now multiplying the highest exponent prime factors to calculate the LCM of 5659 and 5663.

LCM(5659,5663) = 71×8091×56591
LCM(5659,5663) = 32046917

Factors of 5659

List of positive integer factors of 5659 that divides 5659 without a remainder.

1, 5659

Factors of 5663

List of positive integer factors of 5663 that divides 5663 without a remainder.

1, 7, 809, 5663

Least Common Multiple of 5659 and 5663 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5659 and 5663, than apply into the LCM equation.

GCF(5659,5663) = 1
LCM(5659,5663) = ( 5659 × 5663) / 1
LCM(5659,5663) = 32046917 / 1
LCM(5659,5663) = 32046917

Properties of LCM 5659 and 5663

(i) The LCM of 5663 and 5659 is associative

LCM of 5659 and 5663 = LCM of 5663 and 5659

Related Least Common Multiples of 5659

Related Least Common Multiples of 5663

Frequently Asked Questions on LCM of 5659 and 5663

1. What is the LCM of 5659 and 5663?

Answer: LCM of 5659 and 5663 is 32046917.

2. What are the Factors of 5659?

Answer: Factors of 5659 are 1, 5659. There are 2 integers that are factors of 5659. The greatest factor of 5659 is 5659.

3. What are the Factors of 5663?

Answer: Factors of 5663 are 1, 7, 809, 5663. There are 4 integers that are factors of 5663. The greatest factor of 5663 is 5663.

4. How to Find the LCM of 5659 and 5663?

Answer:

Least Common Multiple of 5659 and 5663 = 32046917

Step 1: Find the prime factorization of 5659

5659 = 5659

Step 2: Find the prime factorization of 5663

5663 = 7 x 809

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

LCM = 32046917 = 7 x 809 x 5659

Step 4: Therefore, the least common multiple of 5659 and 5663 is 32046917.