Least Common Multiple of 8704 and 8707

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 8707 the smallest integer that is 75785728 that is divisible by both numbers.

Least Common Multiple (LCM) of 8704 and 8707 is 75785728.

LCM(8704,8707) = 75785728

LCM of 8704 and 8707

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

LCM of:
and

Least Common Multiple of 8704 and 8707

LCM of 8704 and 8707 is 75785728

Least common multiple can be found by multiplying the highest exponent prime factors of 8704 and 8707. First we will calculate the prime factors of 8704 and 8707.

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 8707


8707 8707
1

Prime factors of 8707 are 8707. Prime factorization of 8707 in exponential form is:

8707 = 87071

Now multiplying the highest exponent prime factors to calculate the LCM of 8704 and 8707.

LCM(8704,8707) = 29×171×87071
LCM(8704,8707) = 75785728

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 8707

List of positive integer factors of 8707 that divides 8707 without a remainder.

1, 8707

Least Common Multiple of 8704 and 8707 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 8707, than apply into the LCM equation.

GCF(8704,8707) = 1
LCM(8704,8707) = ( 8704 × 8707) / 1
LCM(8704,8707) = 75785728 / 1
LCM(8704,8707) = 75785728

Properties of LCM 8704 and 8707

(i) The LCM of 8707 and 8704 is associative

LCM of 8704 and 8707 = LCM of 8707 and 8704

Related Least Common Multiples of 8704

Related Least Common Multiples of 8707

Frequently Asked Questions on LCM of 8704 and 8707

1. What is the LCM of 8704 and 8707?

Answer: LCM of 8704 and 8707 is 75785728.

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 8707?

Answer: Factors of 8707 are 1, 8707. There are 2 integers that are factors of 8707. The greatest factor of 8707 is 8707.

4. How to Find the LCM of 8704 and 8707?

Answer:

Least Common Multiple of 8704 and 8707 = 75785728

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 8707

8707 = 8707

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

LCM = 75785728 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 8707

Step 4: Therefore, the least common multiple of 8704 and 8707 is 75785728.