Least Common Multiple of 8699 and 8707

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 8707 the smallest integer that is 75742193 that is divisible by both numbers.

Least Common Multiple (LCM) of 8699 and 8707 is 75742193.

LCM(8699,8707) = 75742193

LCM of 8699 and 8707

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

LCM of:
and

Least Common Multiple of 8699 and 8707

LCM of 8699 and 8707 is 75742193

Least common multiple can be found by multiplying the highest exponent prime factors of 8699 and 8707. First we will calculate the prime factors of 8699 and 8707.

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 8707


8707 8707
1

Prime factors of 8707 are 8707. Prime factorization of 8707 in exponential form is:

8707 = 87071

Now multiplying the highest exponent prime factors to calculate the LCM of 8699 and 8707.

LCM(8699,8707) = 86991×87071
LCM(8699,8707) = 75742193

Factors of 8699

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

1, 8699

Factors of 8707

List of positive integer factors of 8707 that divides 8707 without a remainder.

1, 8707

Least Common Multiple of 8699 and 8707 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 8707, than apply into the LCM equation.

GCF(8699,8707) = 1
LCM(8699,8707) = ( 8699 × 8707) / 1
LCM(8699,8707) = 75742193 / 1
LCM(8699,8707) = 75742193

Properties of LCM 8699 and 8707

(i) The LCM of 8707 and 8699 is associative

LCM of 8699 and 8707 = LCM of 8707 and 8699

Related Least Common Multiples of 8699

Related Least Common Multiples of 8707

Frequently Asked Questions on LCM of 8699 and 8707

1. What is the LCM of 8699 and 8707?

Answer: LCM of 8699 and 8707 is 75742193.

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 8707?

Answer: Factors of 8707 are 1, 8707. There are 2 integers that are factors of 8707. The greatest factor of 8707 is 8707.

4. How to Find the LCM of 8699 and 8707?

Answer:

Least Common Multiple of 8699 and 8707 = 75742193

Step 1: Find the prime factorization of 8699

8699 = 8699

Step 2: Find the prime factorization of 8707

8707 = 8707

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

LCM = 75742193 = 8699 x 8707

Step 4: Therefore, the least common multiple of 8699 and 8707 is 75742193.