Least Common Multiple of 5709 and 5715

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 5715 the smallest integer that is 10875645 that is divisible by both numbers.

Least Common Multiple (LCM) of 5709 and 5715 is 10875645.

LCM(5709,5715) = 10875645

LCM of 5709 and 5715

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

LCM of:
and

Least Common Multiple of 5709 and 5715

LCM of 5709 and 5715 is 10875645

Least common multiple can be found by multiplying the highest exponent prime factors of 5709 and 5715. First we will calculate the prime factors of 5709 and 5715.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 5709 and 5715.

LCM(5709,5715) = 32×51×111×1271×1731
LCM(5709,5715) = 10875645

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 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

Least Common Multiple of 5709 and 5715 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 5715, than apply into the LCM equation.

GCF(5709,5715) = 3
LCM(5709,5715) = ( 5709 × 5715) / 3
LCM(5709,5715) = 32626935 / 3
LCM(5709,5715) = 10875645

Properties of LCM 5709 and 5715

(i) The LCM of 5715 and 5709 is associative

LCM of 5709 and 5715 = LCM of 5715 and 5709

Related Least Common Multiples of 5709

Related Least Common Multiples of 5715

Frequently Asked Questions on LCM of 5709 and 5715

1. What is the LCM of 5709 and 5715?

Answer: LCM of 5709 and 5715 is 10875645.

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 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.

4. How to Find the LCM of 5709 and 5715?

Answer:

Least Common Multiple of 5709 and 5715 = 10875645

Step 1: Find the prime factorization of 5709

5709 = 3 x 11 x 173

Step 2: Find the prime factorization of 5715

5715 = 3 x 3 x 5 x 127

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

LCM = 10875645 = 3 x 3 x 5 x 11 x 127 x 173

Step 4: Therefore, the least common multiple of 5709 and 5715 is 10875645.