Least Common Multiple of 5700 and 5706

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 5706 the smallest integer that is 5420700 that is divisible by both numbers.

Least Common Multiple (LCM) of 5700 and 5706 is 5420700.

LCM(5700,5706) = 5420700

LCM of 5700 and 5706

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

LCM of:
and

Least Common Multiple of 5700 and 5706

LCM of 5700 and 5706 is 5420700

Least common multiple can be found by multiplying the highest exponent prime factors of 5700 and 5706. First we will calculate the prime factors of 5700 and 5706.

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 5706


2 5706
3 2853
3 951
317 317
1

Prime factors of 5706 are 2, 3,317. Prime factorization of 5706 in exponential form is:

5706 = 21×32×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 5700 and 5706.

LCM(5700,5706) = 22×32×52×191×3171
LCM(5700,5706) = 5420700

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 5706

List of positive integer factors of 5706 that divides 5706 without a remainder.

1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706

Least Common Multiple of 5700 and 5706 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 5706, than apply into the LCM equation.

GCF(5700,5706) = 6
LCM(5700,5706) = ( 5700 × 5706) / 6
LCM(5700,5706) = 32524200 / 6
LCM(5700,5706) = 5420700

Properties of LCM 5700 and 5706

(i) The LCM of 5706 and 5700 is associative

LCM of 5700 and 5706 = LCM of 5706 and 5700

Related Least Common Multiples of 5700

Related Least Common Multiples of 5706

Frequently Asked Questions on LCM of 5700 and 5706

1. What is the LCM of 5700 and 5706?

Answer: LCM of 5700 and 5706 is 5420700.

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 5706?

Answer: Factors of 5706 are 1, 2, 3, 6, 9, 18, 317, 634, 951, 1902, 2853, 5706. There are 12 integers that are factors of 5706. The greatest factor of 5706 is 5706.

4. How to Find the LCM of 5700 and 5706?

Answer:

Least Common Multiple of 5700 and 5706 = 5420700

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 5706

5706 = 2 x 3 x 3 x 317

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

LCM = 5420700 = 2 x 2 x 3 x 3 x 5 x 5 x 19 x 317

Step 4: Therefore, the least common multiple of 5700 and 5706 is 5420700.