Least Common Multiple of 8699 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 8699 and 8703 the smallest integer that is 75707397 that is divisible by both numbers.

Least Common Multiple (LCM) of 8699 and 8703 is 75707397.

LCM(8699,8703) = 75707397

LCM of 8699 and 8703

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

LCM of:
and

Least Common Multiple of 8699 and 8703

LCM of 8699 and 8703 is 75707397

Least common multiple can be found by multiplying the highest exponent prime factors of 8699 and 8703. First we will calculate the prime factors of 8699 and 8703.

Prime Factorization of 8699


8699 8699
1

Prime factors of 8699 are 8699. Prime factorization of 8699 in exponential form is:

8699 = 86991

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 8699 and 8703.

LCM(8699,8703) = 32×9671×86991
LCM(8699,8703) = 75707397

Factors of 8699

List of positive integer factors of 8699 that divides 8699 without a remainder.

1, 8699

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 8699 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 8699 and 8703, than apply into the LCM equation.

GCF(8699,8703) = 1
LCM(8699,8703) = ( 8699 × 8703) / 1
LCM(8699,8703) = 75707397 / 1
LCM(8699,8703) = 75707397

Properties of LCM 8699 and 8703

(i) The LCM of 8703 and 8699 is associative

LCM of 8699 and 8703 = LCM of 8703 and 8699

Related Least Common Multiples of 8699

Related Least Common Multiples of 8703

Frequently Asked Questions on LCM of 8699 and 8703

1. What is the LCM of 8699 and 8703?

Answer: LCM of 8699 and 8703 is 75707397.

2. What are the Factors of 8699?

Answer: Factors of 8699 are 1, 8699. There are 2 integers that are factors of 8699. The greatest factor of 8699 is 8699.

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 8699 and 8703?

Answer:

Least Common Multiple of 8699 and 8703 = 75707397

Step 1: Find the prime factorization of 8699

8699 = 8699

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 = 75707397 = 3 x 3 x 967 x 8699

Step 4: Therefore, the least common multiple of 8699 and 8703 is 75707397.