Least Common Multiple of 8736 and 8743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8736 and 8743 the smallest integer that is 10911264 that is divisible by both numbers.

Least Common Multiple (LCM) of 8736 and 8743 is 10911264.

LCM(8736,8743) = 10911264

LCM of 8736 and 8743

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

LCM of:
and

Least Common Multiple of 8736 and 8743

LCM of 8736 and 8743 is 10911264

Least common multiple can be found by multiplying the highest exponent prime factors of 8736 and 8743. First we will calculate the prime factors of 8736 and 8743.

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

Prime Factorization of 8743


7 8743
1249 1249
1

Prime factors of 8743 are 7,1249. Prime factorization of 8743 in exponential form is:

8743 = 71×12491

Now multiplying the highest exponent prime factors to calculate the LCM of 8736 and 8743.

LCM(8736,8743) = 25×31×71×131×12491
LCM(8736,8743) = 10911264

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

Factors of 8743

List of positive integer factors of 8743 that divides 8743 without a remainder.

1, 7, 1249, 8743

Least Common Multiple of 8736 and 8743 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8736 and 8743, than apply into the LCM equation.

GCF(8736,8743) = 7
LCM(8736,8743) = ( 8736 × 8743) / 7
LCM(8736,8743) = 76378848 / 7
LCM(8736,8743) = 10911264

Properties of LCM 8736 and 8743

(i) The LCM of 8743 and 8736 is associative

LCM of 8736 and 8743 = LCM of 8743 and 8736

Related Least Common Multiples of 8736

Related Least Common Multiples of 8743

Frequently Asked Questions on LCM of 8736 and 8743

1. What is the LCM of 8736 and 8743?

Answer: LCM of 8736 and 8743 is 10911264.

2. 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.

3. What are the Factors of 8743?

Answer: Factors of 8743 are 1, 7, 1249, 8743. There are 4 integers that are factors of 8743. The greatest factor of 8743 is 8743.

4. How to Find the LCM of 8736 and 8743?

Answer:

Least Common Multiple of 8736 and 8743 = 10911264

Step 1: Find the prime factorization of 8736

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

Step 2: Find the prime factorization of 8743

8743 = 7 x 1249

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

LCM = 10911264 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 1249

Step 4: Therefore, the least common multiple of 8736 and 8743 is 10911264.