Least Common Multiple of 8730 and 8735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8730 and 8735 the smallest integer that is 15251310 that is divisible by both numbers.

Least Common Multiple (LCM) of 8730 and 8735 is 15251310.

LCM(8730,8735) = 15251310

LCM of 8730 and 8735

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

LCM of:
and

Least Common Multiple of 8730 and 8735

LCM of 8730 and 8735 is 15251310

Least common multiple can be found by multiplying the highest exponent prime factors of 8730 and 8735. First we will calculate the prime factors of 8730 and 8735.

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

Prime Factorization of 8735


5 8735
1747 1747
1

Prime factors of 8735 are 5,1747. Prime factorization of 8735 in exponential form is:

8735 = 51×17471

Now multiplying the highest exponent prime factors to calculate the LCM of 8730 and 8735.

LCM(8730,8735) = 21×32×51×971×17471
LCM(8730,8735) = 15251310

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

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1, 5, 1747, 8735

Least Common Multiple of 8730 and 8735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8730 and 8735, than apply into the LCM equation.

GCF(8730,8735) = 5
LCM(8730,8735) = ( 8730 × 8735) / 5
LCM(8730,8735) = 76256550 / 5
LCM(8730,8735) = 15251310

Properties of LCM 8730 and 8735

(i) The LCM of 8735 and 8730 is associative

LCM of 8730 and 8735 = LCM of 8735 and 8730

Related Least Common Multiples of 8730

Related Least Common Multiples of 8735

Frequently Asked Questions on LCM of 8730 and 8735

1. What is the LCM of 8730 and 8735?

Answer: LCM of 8730 and 8735 is 15251310.

2. 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.

3. What are the Factors of 8735?

Answer: Factors of 8735 are 1, 5, 1747, 8735. There are 4 integers that are factors of 8735. The greatest factor of 8735 is 8735.

4. How to Find the LCM of 8730 and 8735?

Answer:

Least Common Multiple of 8730 and 8735 = 15251310

Step 1: Find the prime factorization of 8730

8730 = 2 x 3 x 3 x 5 x 97

Step 2: Find the prime factorization of 8735

8735 = 5 x 1747

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

LCM = 15251310 = 2 x 3 x 3 x 5 x 97 x 1747

Step 4: Therefore, the least common multiple of 8730 and 8735 is 15251310.