Least Common Multiple of 8704 and 8710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8704 and 8710 the smallest integer that is 37905920 that is divisible by both numbers.

Least Common Multiple (LCM) of 8704 and 8710 is 37905920.

LCM(8704,8710) = 37905920

LCM of 8704 and 8710

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

LCM of:
and

Least Common Multiple of 8704 and 8710

LCM of 8704 and 8710 is 37905920

Least common multiple can be found by multiplying the highest exponent prime factors of 8704 and 8710. First we will calculate the prime factors of 8704 and 8710.

Prime Factorization of 8704


2 8704
2 4352
2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 8704 are 2,17. Prime factorization of 8704 in exponential form is:

8704 = 29×171

Prime Factorization of 8710


2 8710
5 4355
13 871
67 67
1

Prime factors of 8710 are 2, 5, 13,67. Prime factorization of 8710 in exponential form is:

8710 = 21×51×131×671

Now multiplying the highest exponent prime factors to calculate the LCM of 8704 and 8710.

LCM(8704,8710) = 29×51×131×171×671
LCM(8704,8710) = 37905920

Factors of 8704

List of positive integer factors of 8704 that divides 8704 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704

Factors of 8710

List of positive integer factors of 8710 that divides 8710 without a remainder.

1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710

Least Common Multiple of 8704 and 8710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8704 and 8710, than apply into the LCM equation.

GCF(8704,8710) = 2
LCM(8704,8710) = ( 8704 × 8710) / 2
LCM(8704,8710) = 75811840 / 2
LCM(8704,8710) = 37905920

Properties of LCM 8704 and 8710

(i) The LCM of 8710 and 8704 is associative

LCM of 8704 and 8710 = LCM of 8710 and 8704

Related Least Common Multiples of 8704

Related Least Common Multiples of 8710

Frequently Asked Questions on LCM of 8704 and 8710

1. What is the LCM of 8704 and 8710?

Answer: LCM of 8704 and 8710 is 37905920.

2. What are the Factors of 8704?

Answer: Factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704. There are 20 integers that are factors of 8704. The greatest factor of 8704 is 8704.

3. What are the Factors of 8710?

Answer: Factors of 8710 are 1, 2, 5, 10, 13, 26, 65, 67, 130, 134, 335, 670, 871, 1742, 4355, 8710. There are 16 integers that are factors of 8710. The greatest factor of 8710 is 8710.

4. How to Find the LCM of 8704 and 8710?

Answer:

Least Common Multiple of 8704 and 8710 = 37905920

Step 1: Find the prime factorization of 8704

8704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

Step 2: Find the prime factorization of 8710

8710 = 2 x 5 x 13 x 67

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

LCM = 37905920 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 13 x 17 x 67

Step 4: Therefore, the least common multiple of 8704 and 8710 is 37905920.