Least Common Multiple of 8724 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 8724 and 8730 the smallest integer that is 12693420 that is divisible by both numbers.

Least Common Multiple (LCM) of 8724 and 8730 is 12693420.

LCM(8724,8730) = 12693420

LCM of 8724 and 8730

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

LCM of:
and

Least Common Multiple of 8724 and 8730

LCM of 8724 and 8730 is 12693420

Least common multiple can be found by multiplying the highest exponent prime factors of 8724 and 8730. First we will calculate the prime factors of 8724 and 8730.

Prime Factorization of 8724


2 8724
2 4362
3 2181
727 727
1

Prime factors of 8724 are 2, 3,727. Prime factorization of 8724 in exponential form is:

8724 = 22×31×7271

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 8724 and 8730.

LCM(8724,8730) = 22×32×51×971×7271
LCM(8724,8730) = 12693420

Factors of 8724

List of positive integer factors of 8724 that divides 8724 without a remainder.

1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724

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 8724 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 8724 and 8730, than apply into the LCM equation.

GCF(8724,8730) = 6
LCM(8724,8730) = ( 8724 × 8730) / 6
LCM(8724,8730) = 76160520 / 6
LCM(8724,8730) = 12693420

Properties of LCM 8724 and 8730

(i) The LCM of 8730 and 8724 is associative

LCM of 8724 and 8730 = LCM of 8730 and 8724

Related Least Common Multiples of 8724

Related Least Common Multiples of 8730

Frequently Asked Questions on LCM of 8724 and 8730

1. What is the LCM of 8724 and 8730?

Answer: LCM of 8724 and 8730 is 12693420.

2. What are the Factors of 8724?

Answer: Factors of 8724 are 1, 2, 3, 4, 6, 12, 727, 1454, 2181, 2908, 4362, 8724. There are 12 integers that are factors of 8724. The greatest factor of 8724 is 8724.

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 8724 and 8730?

Answer:

Least Common Multiple of 8724 and 8730 = 12693420

Step 1: Find the prime factorization of 8724

8724 = 2 x 2 x 3 x 727

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 = 12693420 = 2 x 2 x 3 x 3 x 5 x 97 x 727

Step 4: Therefore, the least common multiple of 8724 and 8730 is 12693420.