Least Common Multiple of 8697 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 8697 and 8704 the smallest integer that is 75698688 that is divisible by both numbers.

Least Common Multiple (LCM) of 8697 and 8704 is 75698688.

LCM(8697,8704) = 75698688

LCM of 8697 and 8704

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

LCM of:
and

Least Common Multiple of 8697 and 8704

LCM of 8697 and 8704 is 75698688

Least common multiple can be found by multiplying the highest exponent prime factors of 8697 and 8704. First we will calculate the prime factors of 8697 and 8704.

Prime Factorization of 8697


3 8697
13 2899
223 223
1

Prime factors of 8697 are 3, 13,223. Prime factorization of 8697 in exponential form is:

8697 = 31×131×2231

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 8697 and 8704.

LCM(8697,8704) = 29×31×131×171×2231
LCM(8697,8704) = 75698688

Factors of 8697

List of positive integer factors of 8697 that divides 8697 without a remainder.

1, 3, 13, 39, 223, 669, 2899, 8697

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 8697 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 8697 and 8704, than apply into the LCM equation.

GCF(8697,8704) = 1
LCM(8697,8704) = ( 8697 × 8704) / 1
LCM(8697,8704) = 75698688 / 1
LCM(8697,8704) = 75698688

Properties of LCM 8697 and 8704

(i) The LCM of 8704 and 8697 is associative

LCM of 8697 and 8704 = LCM of 8704 and 8697

Related Least Common Multiples of 8697

Related Least Common Multiples of 8704

Frequently Asked Questions on LCM of 8697 and 8704

1. What is the LCM of 8697 and 8704?

Answer: LCM of 8697 and 8704 is 75698688.

2. What are the Factors of 8697?

Answer: Factors of 8697 are 1, 3, 13, 39, 223, 669, 2899, 8697. There are 8 integers that are factors of 8697. The greatest factor of 8697 is 8697.

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 8697 and 8704?

Answer:

Least Common Multiple of 8697 and 8704 = 75698688

Step 1: Find the prime factorization of 8697

8697 = 3 x 13 x 223

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 = 75698688 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13 x 17 x 223

Step 4: Therefore, the least common multiple of 8697 and 8704 is 75698688.