Least Common Multiple of 5715 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 5715 and 5719 the smallest integer that is 32684085 that is divisible by both numbers.

Least Common Multiple (LCM) of 5715 and 5719 is 32684085.

LCM(5715,5719) = 32684085

LCM of 5715 and 5719

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

LCM of:
and

Least Common Multiple of 5715 and 5719

LCM of 5715 and 5719 is 32684085

Least common multiple can be found by multiplying the highest exponent prime factors of 5715 and 5719. First we will calculate the prime factors of 5715 and 5719.

Prime Factorization of 5715


3 5715
3 1905
5 635
127 127
1

Prime factors of 5715 are 3, 5,127. Prime factorization of 5715 in exponential form is:

5715 = 32×51×1271

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 5715 and 5719.

LCM(5715,5719) = 32×51×71×191×431×1271
LCM(5715,5719) = 32684085

Factors of 5715

List of positive integer factors of 5715 that divides 5715 without a remainder.

1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715

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 5715 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 5715 and 5719, than apply into the LCM equation.

GCF(5715,5719) = 1
LCM(5715,5719) = ( 5715 × 5719) / 1
LCM(5715,5719) = 32684085 / 1
LCM(5715,5719) = 32684085

Properties of LCM 5715 and 5719

(i) The LCM of 5719 and 5715 is associative

LCM of 5715 and 5719 = LCM of 5719 and 5715

Related Least Common Multiples of 5715

Related Least Common Multiples of 5719

Frequently Asked Questions on LCM of 5715 and 5719

1. What is the LCM of 5715 and 5719?

Answer: LCM of 5715 and 5719 is 32684085.

2. What are the Factors of 5715?

Answer: Factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715. There are 12 integers that are factors of 5715. The greatest factor of 5715 is 5715.

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 5715 and 5719?

Answer:

Least Common Multiple of 5715 and 5719 = 32684085

Step 1: Find the prime factorization of 5715

5715 = 3 x 3 x 5 x 127

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 = 32684085 = 3 x 3 x 5 x 7 x 19 x 43 x 127

Step 4: Therefore, the least common multiple of 5715 and 5719 is 32684085.