Least Common Multiple of 5703 and 5709

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5703 and 5709 the smallest integer that is 10852809 that is divisible by both numbers.

Least Common Multiple (LCM) of 5703 and 5709 is 10852809.

LCM(5703,5709) = 10852809

LCM of 5703 and 5709

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

LCM of:
and

Least Common Multiple of 5703 and 5709

LCM of 5703 and 5709 is 10852809

Least common multiple can be found by multiplying the highest exponent prime factors of 5703 and 5709. First we will calculate the prime factors of 5703 and 5709.

Prime Factorization of 5703


3 5703
1901 1901
1

Prime factors of 5703 are 3,1901. Prime factorization of 5703 in exponential form is:

5703 = 31×19011

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5703 and 5709.

LCM(5703,5709) = 31×111×1731×19011
LCM(5703,5709) = 10852809

Factors of 5703

List of positive integer factors of 5703 that divides 5703 without a remainder.

1, 3, 1901, 5703

Factors of 5709

List of positive integer factors of 5709 that divides 5709 without a remainder.

1, 3, 11, 33, 173, 519, 1903, 5709

Least Common Multiple of 5703 and 5709 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5703 and 5709, than apply into the LCM equation.

GCF(5703,5709) = 3
LCM(5703,5709) = ( 5703 × 5709) / 3
LCM(5703,5709) = 32558427 / 3
LCM(5703,5709) = 10852809

Properties of LCM 5703 and 5709

(i) The LCM of 5709 and 5703 is associative

LCM of 5703 and 5709 = LCM of 5709 and 5703

Related Least Common Multiples of 5703

Related Least Common Multiples of 5709

Frequently Asked Questions on LCM of 5703 and 5709

1. What is the LCM of 5703 and 5709?

Answer: LCM of 5703 and 5709 is 10852809.

2. What are the Factors of 5703?

Answer: Factors of 5703 are 1, 3, 1901, 5703. There are 4 integers that are factors of 5703. The greatest factor of 5703 is 5703.

3. 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.

4. How to Find the LCM of 5703 and 5709?

Answer:

Least Common Multiple of 5703 and 5709 = 10852809

Step 1: Find the prime factorization of 5703

5703 = 3 x 1901

Step 2: Find the prime factorization of 5709

5709 = 3 x 11 x 173

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

LCM = 10852809 = 3 x 11 x 173 x 1901

Step 4: Therefore, the least common multiple of 5703 and 5709 is 10852809.