Least Common Multiple of 8736 and 8744

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 8744 the smallest integer that is 9548448 that is divisible by both numbers.

Least Common Multiple (LCM) of 8736 and 8744 is 9548448.

LCM(8736,8744) = 9548448

LCM of 8736 and 8744

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

LCM of:
and

Least Common Multiple of 8736 and 8744

LCM of 8736 and 8744 is 9548448

Least common multiple can be found by multiplying the highest exponent prime factors of 8736 and 8744. First we will calculate the prime factors of 8736 and 8744.

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 8744


2 8744
2 4372
2 2186
1093 1093
1

Prime factors of 8744 are 2,1093. Prime factorization of 8744 in exponential form is:

8744 = 23×10931

Now multiplying the highest exponent prime factors to calculate the LCM of 8736 and 8744.

LCM(8736,8744) = 25×31×71×131×10931
LCM(8736,8744) = 9548448

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 8744

List of positive integer factors of 8744 that divides 8744 without a remainder.

1, 2, 4, 8, 1093, 2186, 4372, 8744

Least Common Multiple of 8736 and 8744 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 8744, than apply into the LCM equation.

GCF(8736,8744) = 8
LCM(8736,8744) = ( 8736 × 8744) / 8
LCM(8736,8744) = 76387584 / 8
LCM(8736,8744) = 9548448

Properties of LCM 8736 and 8744

(i) The LCM of 8744 and 8736 is associative

LCM of 8736 and 8744 = LCM of 8744 and 8736

Related Least Common Multiples of 8736

Related Least Common Multiples of 8744

Frequently Asked Questions on LCM of 8736 and 8744

1. What is the LCM of 8736 and 8744?

Answer: LCM of 8736 and 8744 is 9548448.

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 8744?

Answer: Factors of 8744 are 1, 2, 4, 8, 1093, 2186, 4372, 8744. There are 8 integers that are factors of 8744. The greatest factor of 8744 is 8744.

4. How to Find the LCM of 8736 and 8744?

Answer:

Least Common Multiple of 8736 and 8744 = 9548448

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 8744

8744 = 2 x 2 x 2 x 1093

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

LCM = 9548448 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 1093

Step 4: Therefore, the least common multiple of 8736 and 8744 is 9548448.