Least Common Multiple of 5721 and 5729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5721 and 5729 the smallest integer that is 32775609 that is divisible by both numbers.

Least Common Multiple (LCM) of 5721 and 5729 is 32775609.

LCM(5721,5729) = 32775609

LCM of 5721 and 5729

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

LCM of:
and

Least Common Multiple of 5721 and 5729

LCM of 5721 and 5729 is 32775609

Least common multiple can be found by multiplying the highest exponent prime factors of 5721 and 5729. First we will calculate the prime factors of 5721 and 5729.

Prime Factorization of 5721


3 5721
1907 1907
1

Prime factors of 5721 are 3,1907. Prime factorization of 5721 in exponential form is:

5721 = 31×19071

Prime Factorization of 5729


17 5729
337 337
1

Prime factors of 5729 are 17,337. Prime factorization of 5729 in exponential form is:

5729 = 171×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 5721 and 5729.

LCM(5721,5729) = 31×171×3371×19071
LCM(5721,5729) = 32775609

Factors of 5721

List of positive integer factors of 5721 that divides 5721 without a remainder.

1, 3, 1907, 5721

Factors of 5729

List of positive integer factors of 5729 that divides 5729 without a remainder.

1, 17, 337, 5729

Least Common Multiple of 5721 and 5729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5721 and 5729, than apply into the LCM equation.

GCF(5721,5729) = 1
LCM(5721,5729) = ( 5721 × 5729) / 1
LCM(5721,5729) = 32775609 / 1
LCM(5721,5729) = 32775609

Properties of LCM 5721 and 5729

(i) The LCM of 5729 and 5721 is associative

LCM of 5721 and 5729 = LCM of 5729 and 5721

Related Least Common Multiples of 5721

Related Least Common Multiples of 5729

Frequently Asked Questions on LCM of 5721 and 5729

1. What is the LCM of 5721 and 5729?

Answer: LCM of 5721 and 5729 is 32775609.

2. What are the Factors of 5721?

Answer: Factors of 5721 are 1, 3, 1907, 5721. There are 4 integers that are factors of 5721. The greatest factor of 5721 is 5721.

3. What are the Factors of 5729?

Answer: Factors of 5729 are 1, 17, 337, 5729. There are 4 integers that are factors of 5729. The greatest factor of 5729 is 5729.

4. How to Find the LCM of 5721 and 5729?

Answer:

Least Common Multiple of 5721 and 5729 = 32775609

Step 1: Find the prime factorization of 5721

5721 = 3 x 1907

Step 2: Find the prime factorization of 5729

5729 = 17 x 337

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

LCM = 32775609 = 3 x 17 x 337 x 1907

Step 4: Therefore, the least common multiple of 5721 and 5729 is 32775609.