Least Common Multiple of 8729 and 8736

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 8736 the smallest integer that is 10893792 that is divisible by both numbers.

Least Common Multiple (LCM) of 8729 and 8736 is 10893792.

LCM(8729,8736) = 10893792

LCM of 8729 and 8736

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

LCM of:
and

Least Common Multiple of 8729 and 8736

LCM of 8729 and 8736 is 10893792

Least common multiple can be found by multiplying the highest exponent prime factors of 8729 and 8736. First we will calculate the prime factors of 8729 and 8736.

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 8736


2 8736
2 4368
2 2184
2 1092
2 546
3 273
7 91
13 13
1

Prime factors of 8736 are 2, 3, 7,13. Prime factorization of 8736 in exponential form is:

8736 = 25×31×71×131

Now multiplying the highest exponent prime factors to calculate the LCM of 8729 and 8736.

LCM(8729,8736) = 25×31×71×131×291×431
LCM(8729,8736) = 10893792

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 8736

List of positive integer factors of 8736 that divides 8736 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736

Least Common Multiple of 8729 and 8736 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 8736, than apply into the LCM equation.

GCF(8729,8736) = 7
LCM(8729,8736) = ( 8729 × 8736) / 7
LCM(8729,8736) = 76256544 / 7
LCM(8729,8736) = 10893792

Properties of LCM 8729 and 8736

(i) The LCM of 8736 and 8729 is associative

LCM of 8729 and 8736 = LCM of 8736 and 8729

Related Least Common Multiples of 8729

Related Least Common Multiples of 8736

Frequently Asked Questions on LCM of 8729 and 8736

1. What is the LCM of 8729 and 8736?

Answer: LCM of 8729 and 8736 is 10893792.

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 8736?

Answer: Factors of 8736 are 1, 2, 3, 4, 6, 7, 8, 12, 13, 14, 16, 21, 24, 26, 28, 32, 39, 42, 48, 52, 56, 78, 84, 91, 96, 104, 112, 156, 168, 182, 208, 224, 273, 312, 336, 364, 416, 546, 624, 672, 728, 1092, 1248, 1456, 2184, 2912, 4368, 8736. There are 48 integers that are factors of 8736. The greatest factor of 8736 is 8736.

4. How to Find the LCM of 8729 and 8736?

Answer:

Least Common Multiple of 8729 and 8736 = 10893792

Step 1: Find the prime factorization of 8729

8729 = 7 x 29 x 43

Step 2: Find the prime factorization of 8736

8736 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13

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

LCM = 10893792 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 29 x 43

Step 4: Therefore, the least common multiple of 8729 and 8736 is 10893792.