Least Common Multiple of 8692 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 8692 and 8700 the smallest integer that is 18905100 that is divisible by both numbers.

Least Common Multiple (LCM) of 8692 and 8700 is 18905100.

LCM(8692,8700) = 18905100

LCM of 8692 and 8700

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

LCM of:
and

Least Common Multiple of 8692 and 8700

LCM of 8692 and 8700 is 18905100

Least common multiple can be found by multiplying the highest exponent prime factors of 8692 and 8700. First we will calculate the prime factors of 8692 and 8700.

Prime Factorization of 8692


2 8692
2 4346
41 2173
53 53
1

Prime factors of 8692 are 2, 41,53. Prime factorization of 8692 in exponential form is:

8692 = 22×411×531

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 8692 and 8700.

LCM(8692,8700) = 22×31×52×291×411×531
LCM(8692,8700) = 18905100

Factors of 8692

List of positive integer factors of 8692 that divides 8692 without a remainder.

1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692

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 8692 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 8692 and 8700, than apply into the LCM equation.

GCF(8692,8700) = 4
LCM(8692,8700) = ( 8692 × 8700) / 4
LCM(8692,8700) = 75620400 / 4
LCM(8692,8700) = 18905100

Properties of LCM 8692 and 8700

(i) The LCM of 8700 and 8692 is associative

LCM of 8692 and 8700 = LCM of 8700 and 8692

Related Least Common Multiples of 8692

Related Least Common Multiples of 8700

Frequently Asked Questions on LCM of 8692 and 8700

1. What is the LCM of 8692 and 8700?

Answer: LCM of 8692 and 8700 is 18905100.

2. What are the Factors of 8692?

Answer: Factors of 8692 are 1, 2, 4, 41, 53, 82, 106, 164, 212, 2173, 4346, 8692. There are 12 integers that are factors of 8692. The greatest factor of 8692 is 8692.

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 8692 and 8700?

Answer:

Least Common Multiple of 8692 and 8700 = 18905100

Step 1: Find the prime factorization of 8692

8692 = 2 x 2 x 41 x 53

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 = 18905100 = 2 x 2 x 3 x 5 x 5 x 29 x 41 x 53

Step 4: Therefore, the least common multiple of 8692 and 8700 is 18905100.