Least Common Multiple of 8696 and 8704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8696 and 8704 the smallest integer that is 9461248 that is divisible by both numbers.

Least Common Multiple (LCM) of 8696 and 8704 is 9461248.

LCM(8696,8704) = 9461248

LCM of 8696 and 8704

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

LCM of:
and

Least Common Multiple of 8696 and 8704

LCM of 8696 and 8704 is 9461248

Least common multiple can be found by multiplying the highest exponent prime factors of 8696 and 8704. First we will calculate the prime factors of 8696 and 8704.

Prime Factorization of 8696


2 8696
2 4348
2 2174
1087 1087
1

Prime factors of 8696 are 2,1087. Prime factorization of 8696 in exponential form is:

8696 = 23×10871

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8696 and 8704.

LCM(8696,8704) = 29×171×10871
LCM(8696,8704) = 9461248

Factors of 8696

List of positive integer factors of 8696 that divides 8696 without a remainder.

1, 2, 4, 8, 1087, 2174, 4348, 8696

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

Least Common Multiple of 8696 and 8704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8696 and 8704, than apply into the LCM equation.

GCF(8696,8704) = 8
LCM(8696,8704) = ( 8696 × 8704) / 8
LCM(8696,8704) = 75689984 / 8
LCM(8696,8704) = 9461248

Properties of LCM 8696 and 8704

(i) The LCM of 8704 and 8696 is associative

LCM of 8696 and 8704 = LCM of 8704 and 8696

Related Least Common Multiples of 8696

Related Least Common Multiples of 8704

Frequently Asked Questions on LCM of 8696 and 8704

1. What is the LCM of 8696 and 8704?

Answer: LCM of 8696 and 8704 is 9461248.

2. What are the Factors of 8696?

Answer: Factors of 8696 are 1, 2, 4, 8, 1087, 2174, 4348, 8696. There are 8 integers that are factors of 8696. The greatest factor of 8696 is 8696.

3. 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.

4. How to Find the LCM of 8696 and 8704?

Answer:

Least Common Multiple of 8696 and 8704 = 9461248

Step 1: Find the prime factorization of 8696

8696 = 2 x 2 x 2 x 1087

Step 2: 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 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 9461248 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17 x 1087

Step 4: Therefore, the least common multiple of 8696 and 8704 is 9461248.