Least Common Multiple of 5725 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 5725 and 5729 the smallest integer that is 32798525 that is divisible by both numbers.

Least Common Multiple (LCM) of 5725 and 5729 is 32798525.

LCM(5725,5729) = 32798525

LCM of 5725 and 5729

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

LCM of:
and

Least Common Multiple of 5725 and 5729

LCM of 5725 and 5729 is 32798525

Least common multiple can be found by multiplying the highest exponent prime factors of 5725 and 5729. First we will calculate the prime factors of 5725 and 5729.

Prime Factorization of 5725


5 5725
5 1145
229 229
1

Prime factors of 5725 are 5,229. Prime factorization of 5725 in exponential form is:

5725 = 52×2291

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 5725 and 5729.

LCM(5725,5729) = 52×171×2291×3371
LCM(5725,5729) = 32798525

Factors of 5725

List of positive integer factors of 5725 that divides 5725 without a remainder.

1, 5, 25, 229, 1145, 5725

Factors of 5729

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

1, 17, 337, 5729

Least Common Multiple of 5725 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 5725 and 5729, than apply into the LCM equation.

GCF(5725,5729) = 1
LCM(5725,5729) = ( 5725 × 5729) / 1
LCM(5725,5729) = 32798525 / 1
LCM(5725,5729) = 32798525

Properties of LCM 5725 and 5729

(i) The LCM of 5729 and 5725 is associative

LCM of 5725 and 5729 = LCM of 5729 and 5725

Related Least Common Multiples of 5725

Related Least Common Multiples of 5729

Frequently Asked Questions on LCM of 5725 and 5729

1. What is the LCM of 5725 and 5729?

Answer: LCM of 5725 and 5729 is 32798525.

2. What are the Factors of 5725?

Answer: Factors of 5725 are 1, 5, 25, 229, 1145, 5725. There are 6 integers that are factors of 5725. The greatest factor of 5725 is 5725.

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 5725 and 5729?

Answer:

Least Common Multiple of 5725 and 5729 = 32798525

Step 1: Find the prime factorization of 5725

5725 = 5 x 5 x 229

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 = 32798525 = 5 x 5 x 17 x 229 x 337

Step 4: Therefore, the least common multiple of 5725 and 5729 is 32798525.