Least Common Multiple of 5659 and 5667

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 5667 the smallest integer that is 32069553 that is divisible by both numbers.

Least Common Multiple (LCM) of 5659 and 5667 is 32069553.

LCM(5659,5667) = 32069553

LCM of 5659 and 5667

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

LCM of:
and

Least Common Multiple of 5659 and 5667

LCM of 5659 and 5667 is 32069553

Least common multiple can be found by multiplying the highest exponent prime factors of 5659 and 5667. First we will calculate the prime factors of 5659 and 5667.

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 5667


3 5667
1889 1889
1

Prime factors of 5667 are 3,1889. Prime factorization of 5667 in exponential form is:

5667 = 31×18891

Now multiplying the highest exponent prime factors to calculate the LCM of 5659 and 5667.

LCM(5659,5667) = 31×18891×56591
LCM(5659,5667) = 32069553

Factors of 5659

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

1, 5659

Factors of 5667

List of positive integer factors of 5667 that divides 5667 without a remainder.

1, 3, 1889, 5667

Least Common Multiple of 5659 and 5667 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 5667, than apply into the LCM equation.

GCF(5659,5667) = 1
LCM(5659,5667) = ( 5659 × 5667) / 1
LCM(5659,5667) = 32069553 / 1
LCM(5659,5667) = 32069553

Properties of LCM 5659 and 5667

(i) The LCM of 5667 and 5659 is associative

LCM of 5659 and 5667 = LCM of 5667 and 5659

Related Least Common Multiples of 5659

Related Least Common Multiples of 5667

Frequently Asked Questions on LCM of 5659 and 5667

1. What is the LCM of 5659 and 5667?

Answer: LCM of 5659 and 5667 is 32069553.

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 5667?

Answer: Factors of 5667 are 1, 3, 1889, 5667. There are 4 integers that are factors of 5667. The greatest factor of 5667 is 5667.

4. How to Find the LCM of 5659 and 5667?

Answer:

Least Common Multiple of 5659 and 5667 = 32069553

Step 1: Find the prime factorization of 5659

5659 = 5659

Step 2: Find the prime factorization of 5667

5667 = 3 x 1889

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

LCM = 32069553 = 3 x 1889 x 5659

Step 4: Therefore, the least common multiple of 5659 and 5667 is 32069553.