Least Common Multiple of 5700 and 5707

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5700 and 5707 the smallest integer that is 32529900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5700 and 5707 is 32529900.

LCM(5700,5707) = 32529900

LCM of 5700 and 5707

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

LCM of:
and

Least Common Multiple of 5700 and 5707

LCM of 5700 and 5707 is 32529900

Least common multiple can be found by multiplying the highest exponent prime factors of 5700 and 5707. First we will calculate the prime factors of 5700 and 5707.

Prime Factorization of 5700


2 5700
2 2850
3 1425
5 475
5 95
19 19
1

Prime factors of 5700 are 2, 3, 5,19. Prime factorization of 5700 in exponential form is:

5700 = 22×31×52×191

Prime Factorization of 5707


13 5707
439 439
1

Prime factors of 5707 are 13,439. Prime factorization of 5707 in exponential form is:

5707 = 131×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 5700 and 5707.

LCM(5700,5707) = 22×31×52×131×191×4391
LCM(5700,5707) = 32529900

Factors of 5700

List of positive integer factors of 5700 that divides 5700 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700

Factors of 5707

List of positive integer factors of 5707 that divides 5707 without a remainder.

1, 13, 439, 5707

Least Common Multiple of 5700 and 5707 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5700 and 5707, than apply into the LCM equation.

GCF(5700,5707) = 1
LCM(5700,5707) = ( 5700 × 5707) / 1
LCM(5700,5707) = 32529900 / 1
LCM(5700,5707) = 32529900

Properties of LCM 5700 and 5707

(i) The LCM of 5707 and 5700 is associative

LCM of 5700 and 5707 = LCM of 5707 and 5700

Related Least Common Multiples of 5700

Related Least Common Multiples of 5707

Frequently Asked Questions on LCM of 5700 and 5707

1. What is the LCM of 5700 and 5707?

Answer: LCM of 5700 and 5707 is 32529900.

2. What are the Factors of 5700?

Answer: Factors of 5700 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 25, 30, 38, 50, 57, 60, 75, 76, 95, 100, 114, 150, 190, 228, 285, 300, 380, 475, 570, 950, 1140, 1425, 1900, 2850, 5700. There are 36 integers that are factors of 5700. The greatest factor of 5700 is 5700.

3. What are the Factors of 5707?

Answer: Factors of 5707 are 1, 13, 439, 5707. There are 4 integers that are factors of 5707. The greatest factor of 5707 is 5707.

4. How to Find the LCM of 5700 and 5707?

Answer:

Least Common Multiple of 5700 and 5707 = 32529900

Step 1: Find the prime factorization of 5700

5700 = 2 x 2 x 3 x 5 x 5 x 19

Step 2: Find the prime factorization of 5707

5707 = 13 x 439

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

LCM = 32529900 = 2 x 2 x 3 x 5 x 5 x 13 x 19 x 439

Step 4: Therefore, the least common multiple of 5700 and 5707 is 32529900.