Least Common Multiple of 8736 and 8740

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 8740 the smallest integer that is 19088160 that is divisible by both numbers.

Least Common Multiple (LCM) of 8736 and 8740 is 19088160.

LCM(8736,8740) = 19088160

LCM of 8736 and 8740

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

LCM of:
and

Least Common Multiple of 8736 and 8740

LCM of 8736 and 8740 is 19088160

Least common multiple can be found by multiplying the highest exponent prime factors of 8736 and 8740. First we will calculate the prime factors of 8736 and 8740.

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 8740


2 8740
2 4370
5 2185
19 437
23 23
1

Prime factors of 8740 are 2, 5, 19,23. Prime factorization of 8740 in exponential form is:

8740 = 22×51×191×231

Now multiplying the highest exponent prime factors to calculate the LCM of 8736 and 8740.

LCM(8736,8740) = 25×31×51×71×131×191×231
LCM(8736,8740) = 19088160

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 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740

Least Common Multiple of 8736 and 8740 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 8740, than apply into the LCM equation.

GCF(8736,8740) = 4
LCM(8736,8740) = ( 8736 × 8740) / 4
LCM(8736,8740) = 76352640 / 4
LCM(8736,8740) = 19088160

Properties of LCM 8736 and 8740

(i) The LCM of 8740 and 8736 is associative

LCM of 8736 and 8740 = LCM of 8740 and 8736

Related Least Common Multiples of 8736

Related Least Common Multiples of 8740

Frequently Asked Questions on LCM of 8736 and 8740

1. What is the LCM of 8736 and 8740?

Answer: LCM of 8736 and 8740 is 19088160.

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 8740?

Answer: Factors of 8740 are 1, 2, 4, 5, 10, 19, 20, 23, 38, 46, 76, 92, 95, 115, 190, 230, 380, 437, 460, 874, 1748, 2185, 4370, 8740. There are 24 integers that are factors of 8740. The greatest factor of 8740 is 8740.

4. How to Find the LCM of 8736 and 8740?

Answer:

Least Common Multiple of 8736 and 8740 = 19088160

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 8740

8740 = 2 x 2 x 5 x 19 x 23

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

LCM = 19088160 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 19 x 23

Step 4: Therefore, the least common multiple of 8736 and 8740 is 19088160.