Least Common Multiple of 8724 and 8729

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 8729 the smallest integer that is 76151796 that is divisible by both numbers.

Least Common Multiple (LCM) of 8724 and 8729 is 76151796.

LCM(8724,8729) = 76151796

LCM of 8724 and 8729

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

LCM of:
and

Least Common Multiple of 8724 and 8729

LCM of 8724 and 8729 is 76151796

Least common multiple can be found by multiplying the highest exponent prime factors of 8724 and 8729. First we will calculate the prime factors of 8724 and 8729.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8724 and 8729.

LCM(8724,8729) = 22×31×71×291×431×7271
LCM(8724,8729) = 76151796

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 8729

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

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

Least Common Multiple of 8724 and 8729 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 8729, than apply into the LCM equation.

GCF(8724,8729) = 1
LCM(8724,8729) = ( 8724 × 8729) / 1
LCM(8724,8729) = 76151796 / 1
LCM(8724,8729) = 76151796

Properties of LCM 8724 and 8729

(i) The LCM of 8729 and 8724 is associative

LCM of 8724 and 8729 = LCM of 8729 and 8724

Related Least Common Multiples of 8724

Related Least Common Multiples of 8729

Frequently Asked Questions on LCM of 8724 and 8729

1. What is the LCM of 8724 and 8729?

Answer: LCM of 8724 and 8729 is 76151796.

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 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.

4. How to Find the LCM of 8724 and 8729?

Answer:

Least Common Multiple of 8724 and 8729 = 76151796

Step 1: Find the prime factorization of 8724

8724 = 2 x 2 x 3 x 727

Step 2: Find the prime factorization of 8729

8729 = 7 x 29 x 43

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

LCM = 76151796 = 2 x 2 x 3 x 7 x 29 x 43 x 727

Step 4: Therefore, the least common multiple of 8724 and 8729 is 76151796.