Least Common Multiple of 5712 and 5719

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5712 and 5719 the smallest integer that is 4666704 that is divisible by both numbers.

Least Common Multiple (LCM) of 5712 and 5719 is 4666704.

LCM(5712,5719) = 4666704

LCM of 5712 and 5719

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

LCM of:
and

Least Common Multiple of 5712 and 5719

LCM of 5712 and 5719 is 4666704

Least common multiple can be found by multiplying the highest exponent prime factors of 5712 and 5719. First we will calculate the prime factors of 5712 and 5719.

Prime Factorization of 5712


2 5712
2 2856
2 1428
2 714
3 357
7 119
17 17
1

Prime factors of 5712 are 2, 3, 7,17. Prime factorization of 5712 in exponential form is:

5712 = 24×31×71×171

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5712 and 5719.

LCM(5712,5719) = 24×31×71×171×191×431
LCM(5712,5719) = 4666704

Factors of 5712

List of positive integer factors of 5712 that divides 5712 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712

Factors of 5719

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

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

Least Common Multiple of 5712 and 5719 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5712 and 5719, than apply into the LCM equation.

GCF(5712,5719) = 7
LCM(5712,5719) = ( 5712 × 5719) / 7
LCM(5712,5719) = 32666928 / 7
LCM(5712,5719) = 4666704

Properties of LCM 5712 and 5719

(i) The LCM of 5719 and 5712 is associative

LCM of 5712 and 5719 = LCM of 5719 and 5712

Related Least Common Multiples of 5712

Related Least Common Multiples of 5719

Frequently Asked Questions on LCM of 5712 and 5719

1. What is the LCM of 5712 and 5719?

Answer: LCM of 5712 and 5719 is 4666704.

2. What are the Factors of 5712?

Answer: Factors of 5712 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 17, 21, 24, 28, 34, 42, 48, 51, 56, 68, 84, 102, 112, 119, 136, 168, 204, 238, 272, 336, 357, 408, 476, 714, 816, 952, 1428, 1904, 2856, 5712. There are 40 integers that are factors of 5712. The greatest factor of 5712 is 5712.

3. 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.

4. How to Find the LCM of 5712 and 5719?

Answer:

Least Common Multiple of 5712 and 5719 = 4666704

Step 1: Find the prime factorization of 5712

5712 = 2 x 2 x 2 x 2 x 3 x 7 x 17

Step 2: Find the prime factorization of 5719

5719 = 7 x 19 x 43

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

LCM = 4666704 = 2 x 2 x 2 x 2 x 3 x 7 x 17 x 19 x 43

Step 4: Therefore, the least common multiple of 5712 and 5719 is 4666704.