Least Common Multiple of 5663 and 5668

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 5668 the smallest integer that is 32097884 that is divisible by both numbers.

Least Common Multiple (LCM) of 5663 and 5668 is 32097884.

LCM(5663,5668) = 32097884

LCM of 5663 and 5668

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

LCM of:
and

Least Common Multiple of 5663 and 5668

LCM of 5663 and 5668 is 32097884

Least common multiple can be found by multiplying the highest exponent prime factors of 5663 and 5668. First we will calculate the prime factors of 5663 and 5668.

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 5668


2 5668
2 2834
13 1417
109 109
1

Prime factors of 5668 are 2, 13,109. Prime factorization of 5668 in exponential form is:

5668 = 22×131×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5663 and 5668.

LCM(5663,5668) = 22×71×131×1091×8091
LCM(5663,5668) = 32097884

Factors of 5663

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

1, 7, 809, 5663

Factors of 5668

List of positive integer factors of 5668 that divides 5668 without a remainder.

1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668

Least Common Multiple of 5663 and 5668 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 5668, than apply into the LCM equation.

GCF(5663,5668) = 1
LCM(5663,5668) = ( 5663 × 5668) / 1
LCM(5663,5668) = 32097884 / 1
LCM(5663,5668) = 32097884

Properties of LCM 5663 and 5668

(i) The LCM of 5668 and 5663 is associative

LCM of 5663 and 5668 = LCM of 5668 and 5663

Related Least Common Multiples of 5663

Related Least Common Multiples of 5668

Frequently Asked Questions on LCM of 5663 and 5668

1. What is the LCM of 5663 and 5668?

Answer: LCM of 5663 and 5668 is 32097884.

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 5668?

Answer: Factors of 5668 are 1, 2, 4, 13, 26, 52, 109, 218, 436, 1417, 2834, 5668. There are 12 integers that are factors of 5668. The greatest factor of 5668 is 5668.

4. How to Find the LCM of 5663 and 5668?

Answer:

Least Common Multiple of 5663 and 5668 = 32097884

Step 1: Find the prime factorization of 5663

5663 = 7 x 809

Step 2: Find the prime factorization of 5668

5668 = 2 x 2 x 13 x 109

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

LCM = 32097884 = 2 x 2 x 7 x 13 x 109 x 809

Step 4: Therefore, the least common multiple of 5663 and 5668 is 32097884.