Least Common Multiple of 8697 and 8702

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 8702 the smallest integer that is 75681294 that is divisible by both numbers.

Least Common Multiple (LCM) of 8697 and 8702 is 75681294.

LCM(8697,8702) = 75681294

LCM of 8697 and 8702

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

LCM of:
and

Least Common Multiple of 8697 and 8702

LCM of 8697 and 8702 is 75681294

Least common multiple can be found by multiplying the highest exponent prime factors of 8697 and 8702. First we will calculate the prime factors of 8697 and 8702.

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 8702


2 8702
19 4351
229 229
1

Prime factors of 8702 are 2, 19,229. Prime factorization of 8702 in exponential form is:

8702 = 21×191×2291

Now multiplying the highest exponent prime factors to calculate the LCM of 8697 and 8702.

LCM(8697,8702) = 21×31×131×191×2231×2291
LCM(8697,8702) = 75681294

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 8702

List of positive integer factors of 8702 that divides 8702 without a remainder.

1, 2, 19, 38, 229, 458, 4351, 8702

Least Common Multiple of 8697 and 8702 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 8702, than apply into the LCM equation.

GCF(8697,8702) = 1
LCM(8697,8702) = ( 8697 × 8702) / 1
LCM(8697,8702) = 75681294 / 1
LCM(8697,8702) = 75681294

Properties of LCM 8697 and 8702

(i) The LCM of 8702 and 8697 is associative

LCM of 8697 and 8702 = LCM of 8702 and 8697

Related Least Common Multiples of 8697

Related Least Common Multiples of 8702

Frequently Asked Questions on LCM of 8697 and 8702

1. What is the LCM of 8697 and 8702?

Answer: LCM of 8697 and 8702 is 75681294.

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 8702?

Answer: Factors of 8702 are 1, 2, 19, 38, 229, 458, 4351, 8702. There are 8 integers that are factors of 8702. The greatest factor of 8702 is 8702.

4. How to Find the LCM of 8697 and 8702?

Answer:

Least Common Multiple of 8697 and 8702 = 75681294

Step 1: Find the prime factorization of 8697

8697 = 3 x 13 x 223

Step 2: Find the prime factorization of 8702

8702 = 2 x 19 x 229

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

LCM = 75681294 = 2 x 3 x 13 x 19 x 223 x 229

Step 4: Therefore, the least common multiple of 8697 and 8702 is 75681294.