Least Common Multiple of 8700 and 8704

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8700 and 8704 the smallest integer that is 18931200 that is divisible by both numbers.

Least Common Multiple (LCM) of 8700 and 8704 is 18931200.

LCM(8700,8704) = 18931200

LCM of 8700 and 8704

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

LCM of:
and

Least Common Multiple of 8700 and 8704

LCM of 8700 and 8704 is 18931200

Least common multiple can be found by multiplying the highest exponent prime factors of 8700 and 8704. First we will calculate the prime factors of 8700 and 8704.

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

Prime Factorization of 8704


2 8704
2 4352
2 2176
2 1088
2 544
2 272
2 136
2 68
2 34
17 17
1

Prime factors of 8704 are 2,17. Prime factorization of 8704 in exponential form is:

8704 = 29×171

Now multiplying the highest exponent prime factors to calculate the LCM of 8700 and 8704.

LCM(8700,8704) = 29×31×52×171×291
LCM(8700,8704) = 18931200

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

Factors of 8704

List of positive integer factors of 8704 that divides 8704 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704

Least Common Multiple of 8700 and 8704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8700 and 8704, than apply into the LCM equation.

GCF(8700,8704) = 4
LCM(8700,8704) = ( 8700 × 8704) / 4
LCM(8700,8704) = 75724800 / 4
LCM(8700,8704) = 18931200

Properties of LCM 8700 and 8704

(i) The LCM of 8704 and 8700 is associative

LCM of 8700 and 8704 = LCM of 8704 and 8700

Related Least Common Multiples of 8700

Related Least Common Multiples of 8704

Frequently Asked Questions on LCM of 8700 and 8704

1. What is the LCM of 8700 and 8704?

Answer: LCM of 8700 and 8704 is 18931200.

2. 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.

3. What are the Factors of 8704?

Answer: Factors of 8704 are 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 512, 544, 1088, 2176, 4352, 8704. There are 20 integers that are factors of 8704. The greatest factor of 8704 is 8704.

4. How to Find the LCM of 8700 and 8704?

Answer:

Least Common Multiple of 8700 and 8704 = 18931200

Step 1: Find the prime factorization of 8700

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

Step 2: Find the prime factorization of 8704

8704 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 17

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

LCM = 18931200 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 17 x 29

Step 4: Therefore, the least common multiple of 8700 and 8704 is 18931200.