Least Common Multiple of 8697 and 8703

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 8703 the smallest integer that is 25229997 that is divisible by both numbers.

Least Common Multiple (LCM) of 8697 and 8703 is 25229997.

LCM(8697,8703) = 25229997

LCM of 8697 and 8703

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

LCM of:
and

Least Common Multiple of 8697 and 8703

LCM of 8697 and 8703 is 25229997

Least common multiple can be found by multiplying the highest exponent prime factors of 8697 and 8703. First we will calculate the prime factors of 8697 and 8703.

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 8703


3 8703
3 2901
967 967
1

Prime factors of 8703 are 3,967. Prime factorization of 8703 in exponential form is:

8703 = 32×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 8697 and 8703.

LCM(8697,8703) = 32×131×2231×9671
LCM(8697,8703) = 25229997

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 8703

List of positive integer factors of 8703 that divides 8703 without a remainder.

1, 3, 9, 967, 2901, 8703

Least Common Multiple of 8697 and 8703 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 8703, than apply into the LCM equation.

GCF(8697,8703) = 3
LCM(8697,8703) = ( 8697 × 8703) / 3
LCM(8697,8703) = 75689991 / 3
LCM(8697,8703) = 25229997

Properties of LCM 8697 and 8703

(i) The LCM of 8703 and 8697 is associative

LCM of 8697 and 8703 = LCM of 8703 and 8697

Related Least Common Multiples of 8697

Related Least Common Multiples of 8703

Frequently Asked Questions on LCM of 8697 and 8703

1. What is the LCM of 8697 and 8703?

Answer: LCM of 8697 and 8703 is 25229997.

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 8703?

Answer: Factors of 8703 are 1, 3, 9, 967, 2901, 8703. There are 6 integers that are factors of 8703. The greatest factor of 8703 is 8703.

4. How to Find the LCM of 8697 and 8703?

Answer:

Least Common Multiple of 8697 and 8703 = 25229997

Step 1: Find the prime factorization of 8697

8697 = 3 x 13 x 223

Step 2: Find the prime factorization of 8703

8703 = 3 x 3 x 967

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

LCM = 25229997 = 3 x 3 x 13 x 223 x 967

Step 4: Therefore, the least common multiple of 8697 and 8703 is 25229997.