Least Common Multiple of 8698 and 8700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8698 and 8700 the smallest integer that is 37836300 that is divisible by both numbers.

Least Common Multiple (LCM) of 8698 and 8700 is 37836300.

LCM(8698,8700) = 37836300

LCM of 8698 and 8700

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

LCM of:
and

Least Common Multiple of 8698 and 8700

LCM of 8698 and 8700 is 37836300

Least common multiple can be found by multiplying the highest exponent prime factors of 8698 and 8700. First we will calculate the prime factors of 8698 and 8700.

Prime Factorization of 8698


2 8698
4349 4349
1

Prime factors of 8698 are 2,4349. Prime factorization of 8698 in exponential form is:

8698 = 21×43491

Prime Factorization of 8700


2 8700
2 4350
3 2175
5 725
5 145
29 29
1

Prime factors of 8700 are 2, 3, 5,29. Prime factorization of 8700 in exponential form is:

8700 = 22×31×52×291

Now multiplying the highest exponent prime factors to calculate the LCM of 8698 and 8700.

LCM(8698,8700) = 22×31×52×291×43491
LCM(8698,8700) = 37836300

Factors of 8698

List of positive integer factors of 8698 that divides 8698 without a remainder.

1, 2, 4349, 8698

Factors of 8700

List of positive integer factors of 8700 that divides 8700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700

Least Common Multiple of 8698 and 8700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8698 and 8700, than apply into the LCM equation.

GCF(8698,8700) = 2
LCM(8698,8700) = ( 8698 × 8700) / 2
LCM(8698,8700) = 75672600 / 2
LCM(8698,8700) = 37836300

Properties of LCM 8698 and 8700

(i) The LCM of 8700 and 8698 is associative

LCM of 8698 and 8700 = LCM of 8700 and 8698

Related Least Common Multiples of 8698

Related Least Common Multiples of 8700

Frequently Asked Questions on LCM of 8698 and 8700

1. What is the LCM of 8698 and 8700?

Answer: LCM of 8698 and 8700 is 37836300.

2. What are the Factors of 8698?

Answer: Factors of 8698 are 1, 2, 4349, 8698. There are 4 integers that are factors of 8698. The greatest factor of 8698 is 8698.

3. What are the Factors of 8700?

Answer: Factors of 8700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 29, 30, 50, 58, 60, 75, 87, 100, 116, 145, 150, 174, 290, 300, 348, 435, 580, 725, 870, 1450, 1740, 2175, 2900, 4350, 8700. There are 36 integers that are factors of 8700. The greatest factor of 8700 is 8700.

4. How to Find the LCM of 8698 and 8700?

Answer:

Least Common Multiple of 8698 and 8700 = 37836300

Step 1: Find the prime factorization of 8698

8698 = 2 x 4349

Step 2: Find the prime factorization of 8700

8700 = 2 x 2 x 3 x 5 x 5 x 29

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

LCM = 37836300 = 2 x 2 x 3 x 5 x 5 x 29 x 4349

Step 4: Therefore, the least common multiple of 8698 and 8700 is 37836300.