Least Common Multiple of 5719 and 5724

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 5724 the smallest integer that is 32735556 that is divisible by both numbers.

Least Common Multiple (LCM) of 5719 and 5724 is 32735556.

LCM(5719,5724) = 32735556

LCM of 5719 and 5724

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

LCM of:
and

Least Common Multiple of 5719 and 5724

LCM of 5719 and 5724 is 32735556

Least common multiple can be found by multiplying the highest exponent prime factors of 5719 and 5724. First we will calculate the prime factors of 5719 and 5724.

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 5724


2 5724
2 2862
3 1431
3 477
3 159
53 53
1

Prime factors of 5724 are 2, 3,53. Prime factorization of 5724 in exponential form is:

5724 = 22×33×531

Now multiplying the highest exponent prime factors to calculate the LCM of 5719 and 5724.

LCM(5719,5724) = 22×33×71×191×431×531
LCM(5719,5724) = 32735556

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 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724

Least Common Multiple of 5719 and 5724 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 5724, than apply into the LCM equation.

GCF(5719,5724) = 1
LCM(5719,5724) = ( 5719 × 5724) / 1
LCM(5719,5724) = 32735556 / 1
LCM(5719,5724) = 32735556

Properties of LCM 5719 and 5724

(i) The LCM of 5724 and 5719 is associative

LCM of 5719 and 5724 = LCM of 5724 and 5719

Related Least Common Multiples of 5719

Related Least Common Multiples of 5724

Frequently Asked Questions on LCM of 5719 and 5724

1. What is the LCM of 5719 and 5724?

Answer: LCM of 5719 and 5724 is 32735556.

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 5724?

Answer: Factors of 5724 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 53, 54, 106, 108, 159, 212, 318, 477, 636, 954, 1431, 1908, 2862, 5724. There are 24 integers that are factors of 5724. The greatest factor of 5724 is 5724.

4. How to Find the LCM of 5719 and 5724?

Answer:

Least Common Multiple of 5719 and 5724 = 32735556

Step 1: Find the prime factorization of 5719

5719 = 7 x 19 x 43

Step 2: Find the prime factorization of 5724

5724 = 2 x 2 x 3 x 3 x 3 x 53

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

LCM = 32735556 = 2 x 2 x 3 x 3 x 3 x 7 x 19 x 43 x 53

Step 4: Therefore, the least common multiple of 5719 and 5724 is 32735556.