Least Common Multiple of 8729 and 8730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8729 and 8730 the smallest integer that is 76204170 that is divisible by both numbers.

Least Common Multiple (LCM) of 8729 and 8730 is 76204170.

LCM(8729,8730) = 76204170

LCM of 8729 and 8730

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

LCM of:
and

Least Common Multiple of 8729 and 8730

LCM of 8729 and 8730 is 76204170

Least common multiple can be found by multiplying the highest exponent prime factors of 8729 and 8730. First we will calculate the prime factors of 8729 and 8730.

Prime Factorization of 8729


7 8729
29 1247
43 43
1

Prime factors of 8729 are 7, 29,43. Prime factorization of 8729 in exponential form is:

8729 = 71×291×431

Prime Factorization of 8730


2 8730
3 4365
3 1455
5 485
97 97
1

Prime factors of 8730 are 2, 3, 5,97. Prime factorization of 8730 in exponential form is:

8730 = 21×32×51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8729 and 8730.

LCM(8729,8730) = 21×32×51×71×291×431×971
LCM(8729,8730) = 76204170

Factors of 8729

List of positive integer factors of 8729 that divides 8729 without a remainder.

1, 7, 29, 43, 203, 301, 1247, 8729

Factors of 8730

List of positive integer factors of 8730 that divides 8730 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730

Least Common Multiple of 8729 and 8730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8729 and 8730, than apply into the LCM equation.

GCF(8729,8730) = 1
LCM(8729,8730) = ( 8729 × 8730) / 1
LCM(8729,8730) = 76204170 / 1
LCM(8729,8730) = 76204170

Properties of LCM 8729 and 8730

(i) The LCM of 8730 and 8729 is associative

LCM of 8729 and 8730 = LCM of 8730 and 8729

Related Least Common Multiples of 8729

Related Least Common Multiples of 8730

Frequently Asked Questions on LCM of 8729 and 8730

1. What is the LCM of 8729 and 8730?

Answer: LCM of 8729 and 8730 is 76204170.

2. What are the Factors of 8729?

Answer: Factors of 8729 are 1, 7, 29, 43, 203, 301, 1247, 8729. There are 8 integers that are factors of 8729. The greatest factor of 8729 is 8729.

3. What are the Factors of 8730?

Answer: Factors of 8730 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 97, 194, 291, 485, 582, 873, 970, 1455, 1746, 2910, 4365, 8730. There are 24 integers that are factors of 8730. The greatest factor of 8730 is 8730.

4. How to Find the LCM of 8729 and 8730?

Answer:

Least Common Multiple of 8729 and 8730 = 76204170

Step 1: Find the prime factorization of 8729

8729 = 7 x 29 x 43

Step 2: Find the prime factorization of 8730

8730 = 2 x 3 x 3 x 5 x 97

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

LCM = 76204170 = 2 x 3 x 3 x 5 x 7 x 29 x 43 x 97

Step 4: Therefore, the least common multiple of 8729 and 8730 is 76204170.