Least Common Multiple of 5719 and 5727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5719 and 5727 the smallest integer that is 32752713 that is divisible by both numbers.

Least Common Multiple (LCM) of 5719 and 5727 is 32752713.

LCM(5719,5727) = 32752713

LCM of 5719 and 5727

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

LCM of:
and

Least Common Multiple of 5719 and 5727

LCM of 5719 and 5727 is 32752713

Least common multiple can be found by multiplying the highest exponent prime factors of 5719 and 5727. First we will calculate the prime factors of 5719 and 5727.

Prime Factorization of 5719


7 5719
19 817
43 43
1

Prime factors of 5719 are 7, 19,43. Prime factorization of 5719 in exponential form is:

5719 = 71×191×431

Prime Factorization of 5727


3 5727
23 1909
83 83
1

Prime factors of 5727 are 3, 23,83. Prime factorization of 5727 in exponential form is:

5727 = 31×231×831

Now multiplying the highest exponent prime factors to calculate the LCM of 5719 and 5727.

LCM(5719,5727) = 31×71×191×231×431×831
LCM(5719,5727) = 32752713

Factors of 5719

List of positive integer factors of 5719 that divides 5719 without a remainder.

1, 7, 19, 43, 133, 301, 817, 5719

Factors of 5727

List of positive integer factors of 5727 that divides 5727 without a remainder.

1, 3, 23, 69, 83, 249, 1909, 5727

Least Common Multiple of 5719 and 5727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5719 and 5727, than apply into the LCM equation.

GCF(5719,5727) = 1
LCM(5719,5727) = ( 5719 × 5727) / 1
LCM(5719,5727) = 32752713 / 1
LCM(5719,5727) = 32752713

Properties of LCM 5719 and 5727

(i) The LCM of 5727 and 5719 is associative

LCM of 5719 and 5727 = LCM of 5727 and 5719

Related Least Common Multiples of 5719

Related Least Common Multiples of 5727

Frequently Asked Questions on LCM of 5719 and 5727

1. What is the LCM of 5719 and 5727?

Answer: LCM of 5719 and 5727 is 32752713.

2. What are the Factors of 5719?

Answer: Factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719. There are 8 integers that are factors of 5719. The greatest factor of 5719 is 5719.

3. What are the Factors of 5727?

Answer: Factors of 5727 are 1, 3, 23, 69, 83, 249, 1909, 5727. There are 8 integers that are factors of 5727. The greatest factor of 5727 is 5727.

4. How to Find the LCM of 5719 and 5727?

Answer:

Least Common Multiple of 5719 and 5727 = 32752713

Step 1: Find the prime factorization of 5719

5719 = 7 x 19 x 43

Step 2: Find the prime factorization of 5727

5727 = 3 x 23 x 83

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

LCM = 32752713 = 3 x 7 x 19 x 23 x 43 x 83

Step 4: Therefore, the least common multiple of 5719 and 5727 is 32752713.