Least Common Multiple of 5700 and 5708

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 5708 the smallest integer that is 8133900 that is divisible by both numbers.

Least Common Multiple (LCM) of 5700 and 5708 is 8133900.

LCM(5700,5708) = 8133900

LCM of 5700 and 5708

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

LCM of:
and

Least Common Multiple of 5700 and 5708

LCM of 5700 and 5708 is 8133900

Least common multiple can be found by multiplying the highest exponent prime factors of 5700 and 5708. First we will calculate the prime factors of 5700 and 5708.

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 5708


2 5708
2 2854
1427 1427
1

Prime factors of 5708 are 2,1427. Prime factorization of 5708 in exponential form is:

5708 = 22×14271

Now multiplying the highest exponent prime factors to calculate the LCM of 5700 and 5708.

LCM(5700,5708) = 22×31×52×191×14271
LCM(5700,5708) = 8133900

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 5708

List of positive integer factors of 5708 that divides 5708 without a remainder.

1, 2, 4, 1427, 2854, 5708

Least Common Multiple of 5700 and 5708 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 5708, than apply into the LCM equation.

GCF(5700,5708) = 4
LCM(5700,5708) = ( 5700 × 5708) / 4
LCM(5700,5708) = 32535600 / 4
LCM(5700,5708) = 8133900

Properties of LCM 5700 and 5708

(i) The LCM of 5708 and 5700 is associative

LCM of 5700 and 5708 = LCM of 5708 and 5700

Related Least Common Multiples of 5700

Related Least Common Multiples of 5708

Frequently Asked Questions on LCM of 5700 and 5708

1. What is the LCM of 5700 and 5708?

Answer: LCM of 5700 and 5708 is 8133900.

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 5708?

Answer: Factors of 5708 are 1, 2, 4, 1427, 2854, 5708. There are 6 integers that are factors of 5708. The greatest factor of 5708 is 5708.

4. How to Find the LCM of 5700 and 5708?

Answer:

Least Common Multiple of 5700 and 5708 = 8133900

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 5708

5708 = 2 x 2 x 1427

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

LCM = 8133900 = 2 x 2 x 3 x 5 x 5 x 19 x 1427

Step 4: Therefore, the least common multiple of 5700 and 5708 is 8133900.