Least Common Multiple of 5663 and 5669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5663 and 5669 the smallest integer that is 32103547 that is divisible by both numbers.

Least Common Multiple (LCM) of 5663 and 5669 is 32103547.

LCM(5663,5669) = 32103547

LCM of 5663 and 5669

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

LCM of:
and

Least Common Multiple of 5663 and 5669

LCM of 5663 and 5669 is 32103547

Least common multiple can be found by multiplying the highest exponent prime factors of 5663 and 5669. First we will calculate the prime factors of 5663 and 5669.

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

Prime Factorization of 5669


5669 5669
1

Prime factors of 5669 are 5669. Prime factorization of 5669 in exponential form is:

5669 = 56691

Now multiplying the highest exponent prime factors to calculate the LCM of 5663 and 5669.

LCM(5663,5669) = 71×8091×56691
LCM(5663,5669) = 32103547

Factors of 5663

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

1, 7, 809, 5663

Factors of 5669

List of positive integer factors of 5669 that divides 5669 without a remainder.

1, 5669

Least Common Multiple of 5663 and 5669 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5663 and 5669, than apply into the LCM equation.

GCF(5663,5669) = 1
LCM(5663,5669) = ( 5663 × 5669) / 1
LCM(5663,5669) = 32103547 / 1
LCM(5663,5669) = 32103547

Properties of LCM 5663 and 5669

(i) The LCM of 5669 and 5663 is associative

LCM of 5663 and 5669 = LCM of 5669 and 5663

Related Least Common Multiples of 5663

Related Least Common Multiples of 5669

Frequently Asked Questions on LCM of 5663 and 5669

1. What is the LCM of 5663 and 5669?

Answer: LCM of 5663 and 5669 is 32103547.

2. 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.

3. What are the Factors of 5669?

Answer: Factors of 5669 are 1, 5669. There are 2 integers that are factors of 5669. The greatest factor of 5669 is 5669.

4. How to Find the LCM of 5663 and 5669?

Answer:

Least Common Multiple of 5663 and 5669 = 32103547

Step 1: Find the prime factorization of 5663

5663 = 7 x 809

Step 2: Find the prime factorization of 5669

5669 = 5669

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

LCM = 32103547 = 7 x 809 x 5669

Step 4: Therefore, the least common multiple of 5663 and 5669 is 32103547.