Least Common Multiple of 8736 and 8741

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 8741 the smallest integer that is 76361376 that is divisible by both numbers.

Least Common Multiple (LCM) of 8736 and 8741 is 76361376.

LCM(8736,8741) = 76361376

LCM of 8736 and 8741

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

LCM of:
and

Least Common Multiple of 8736 and 8741

LCM of 8736 and 8741 is 76361376

Least common multiple can be found by multiplying the highest exponent prime factors of 8736 and 8741. First we will calculate the prime factors of 8736 and 8741.

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 8741


8741 8741
1

Prime factors of 8741 are 8741. Prime factorization of 8741 in exponential form is:

8741 = 87411

Now multiplying the highest exponent prime factors to calculate the LCM of 8736 and 8741.

LCM(8736,8741) = 25×31×71×131×87411
LCM(8736,8741) = 76361376

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 8741

List of positive integer factors of 8741 that divides 8741 without a remainder.

1, 8741

Least Common Multiple of 8736 and 8741 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 8741, than apply into the LCM equation.

GCF(8736,8741) = 1
LCM(8736,8741) = ( 8736 × 8741) / 1
LCM(8736,8741) = 76361376 / 1
LCM(8736,8741) = 76361376

Properties of LCM 8736 and 8741

(i) The LCM of 8741 and 8736 is associative

LCM of 8736 and 8741 = LCM of 8741 and 8736

Related Least Common Multiples of 8736

Related Least Common Multiples of 8741

Frequently Asked Questions on LCM of 8736 and 8741

1. What is the LCM of 8736 and 8741?

Answer: LCM of 8736 and 8741 is 76361376.

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 8741?

Answer: Factors of 8741 are 1, 8741. There are 2 integers that are factors of 8741. The greatest factor of 8741 is 8741.

4. How to Find the LCM of 8736 and 8741?

Answer:

Least Common Multiple of 8736 and 8741 = 76361376

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 8741

8741 = 8741

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

LCM = 76361376 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 13 x 8741

Step 4: Therefore, the least common multiple of 8736 and 8741 is 76361376.