Least Common Multiple of 5709 and 5716

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5709 and 5716 the smallest integer that is 32632644 that is divisible by both numbers.

Least Common Multiple (LCM) of 5709 and 5716 is 32632644.

LCM(5709,5716) = 32632644

LCM of 5709 and 5716

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

LCM of:
and

Least Common Multiple of 5709 and 5716

LCM of 5709 and 5716 is 32632644

Least common multiple can be found by multiplying the highest exponent prime factors of 5709 and 5716. First we will calculate the prime factors of 5709 and 5716.

Prime Factorization of 5709


3 5709
11 1903
173 173
1

Prime factors of 5709 are 3, 11,173. Prime factorization of 5709 in exponential form is:

5709 = 31×111×1731

Prime Factorization of 5716


2 5716
2 2858
1429 1429
1

Prime factors of 5716 are 2,1429. Prime factorization of 5716 in exponential form is:

5716 = 22×14291

Now multiplying the highest exponent prime factors to calculate the LCM of 5709 and 5716.

LCM(5709,5716) = 22×31×111×1731×14291
LCM(5709,5716) = 32632644

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1, 3, 11, 33, 173, 519, 1903, 5709

Factors of 5716

List of positive integer factors of 5716 that divides 5716 without a remainder.

1, 2, 4, 1429, 2858, 5716

Least Common Multiple of 5709 and 5716 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5709 and 5716, than apply into the LCM equation.

GCF(5709,5716) = 1
LCM(5709,5716) = ( 5709 × 5716) / 1
LCM(5709,5716) = 32632644 / 1
LCM(5709,5716) = 32632644

Properties of LCM 5709 and 5716

(i) The LCM of 5716 and 5709 is associative

LCM of 5709 and 5716 = LCM of 5716 and 5709

Related Least Common Multiples of 5709

Related Least Common Multiples of 5716

Frequently Asked Questions on LCM of 5709 and 5716

1. What is the LCM of 5709 and 5716?

Answer: LCM of 5709 and 5716 is 32632644.

2. What are the Factors of 5709?

Answer: Factors of 5709 are 1, 3, 11, 33, 173, 519, 1903, 5709. There are 8 integers that are factors of 5709. The greatest factor of 5709 is 5709.

3. What are the Factors of 5716?

Answer: Factors of 5716 are 1, 2, 4, 1429, 2858, 5716. There are 6 integers that are factors of 5716. The greatest factor of 5716 is 5716.

4. How to Find the LCM of 5709 and 5716?

Answer:

Least Common Multiple of 5709 and 5716 = 32632644

Step 1: Find the prime factorization of 5709

5709 = 3 x 11 x 173

Step 2: Find the prime factorization of 5716

5716 = 2 x 2 x 1429

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

LCM = 32632644 = 2 x 2 x 3 x 11 x 173 x 1429

Step 4: Therefore, the least common multiple of 5709 and 5716 is 32632644.