Least Common Multiple of 8696 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 8696 and 8703 the smallest integer that is 75681288 that is divisible by both numbers.

Least Common Multiple (LCM) of 8696 and 8703 is 75681288.

LCM(8696,8703) = 75681288

LCM of 8696 and 8703

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

LCM of:
and

Least Common Multiple of 8696 and 8703

LCM of 8696 and 8703 is 75681288

Least common multiple can be found by multiplying the highest exponent prime factors of 8696 and 8703. First we will calculate the prime factors of 8696 and 8703.

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 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 8696 and 8703.

LCM(8696,8703) = 23×32×9671×10871
LCM(8696,8703) = 75681288

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 8703

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

1, 3, 9, 967, 2901, 8703

Least Common Multiple of 8696 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 8696 and 8703, than apply into the LCM equation.

GCF(8696,8703) = 1
LCM(8696,8703) = ( 8696 × 8703) / 1
LCM(8696,8703) = 75681288 / 1
LCM(8696,8703) = 75681288

Properties of LCM 8696 and 8703

(i) The LCM of 8703 and 8696 is associative

LCM of 8696 and 8703 = LCM of 8703 and 8696

Related Least Common Multiples of 8696

Related Least Common Multiples of 8703

Frequently Asked Questions on LCM of 8696 and 8703

1. What is the LCM of 8696 and 8703?

Answer: LCM of 8696 and 8703 is 75681288.

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 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 8696 and 8703?

Answer:

Least Common Multiple of 8696 and 8703 = 75681288

Step 1: Find the prime factorization of 8696

8696 = 2 x 2 x 2 x 1087

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 = 75681288 = 2 x 2 x 2 x 3 x 3 x 967 x 1087

Step 4: Therefore, the least common multiple of 8696 and 8703 is 75681288.