Least Common Multiple of 8704 and 8711

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 8711 the smallest integer that is 75820544 that is divisible by both numbers.

Least Common Multiple (LCM) of 8704 and 8711 is 75820544.

LCM(8704,8711) = 75820544

LCM of 8704 and 8711

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

LCM of:
and

Least Common Multiple of 8704 and 8711

LCM of 8704 and 8711 is 75820544

Least common multiple can be found by multiplying the highest exponent prime factors of 8704 and 8711. First we will calculate the prime factors of 8704 and 8711.

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 8711


31 8711
281 281
1

Prime factors of 8711 are 31,281. Prime factorization of 8711 in exponential form is:

8711 = 311×2811

Now multiplying the highest exponent prime factors to calculate the LCM of 8704 and 8711.

LCM(8704,8711) = 29×171×311×2811
LCM(8704,8711) = 75820544

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 8711

List of positive integer factors of 8711 that divides 8711 without a remainder.

1, 31, 281, 8711

Least Common Multiple of 8704 and 8711 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 8711, than apply into the LCM equation.

GCF(8704,8711) = 1
LCM(8704,8711) = ( 8704 × 8711) / 1
LCM(8704,8711) = 75820544 / 1
LCM(8704,8711) = 75820544

Properties of LCM 8704 and 8711

(i) The LCM of 8711 and 8704 is associative

LCM of 8704 and 8711 = LCM of 8711 and 8704

Related Least Common Multiples of 8704

Related Least Common Multiples of 8711

Frequently Asked Questions on LCM of 8704 and 8711

1. What is the LCM of 8704 and 8711?

Answer: LCM of 8704 and 8711 is 75820544.

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 8711?

Answer: Factors of 8711 are 1, 31, 281, 8711. There are 4 integers that are factors of 8711. The greatest factor of 8711 is 8711.

4. How to Find the LCM of 8704 and 8711?

Answer:

Least Common Multiple of 8704 and 8711 = 75820544

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 8711

8711 = 31 x 281

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

LCM = 75820544 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 31 x 281

Step 4: Therefore, the least common multiple of 8704 and 8711 is 75820544.