Least Common Multiple of 5693 and 5700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5693 and 5700 the smallest integer that is 32450100 that is divisible by both numbers.

Least Common Multiple (LCM) of 5693 and 5700 is 32450100.

LCM(5693,5700) = 32450100

LCM of 5693 and 5700

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

LCM of:
and

Least Common Multiple of 5693 and 5700

LCM of 5693 and 5700 is 32450100

Least common multiple can be found by multiplying the highest exponent prime factors of 5693 and 5700. First we will calculate the prime factors of 5693 and 5700.

Prime Factorization of 5693


5693 5693
1

Prime factors of 5693 are 5693. Prime factorization of 5693 in exponential form is:

5693 = 56931

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5693 and 5700.

LCM(5693,5700) = 22×31×52×191×56931
LCM(5693,5700) = 32450100

Factors of 5693

List of positive integer factors of 5693 that divides 5693 without a remainder.

1, 5693

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

Least Common Multiple of 5693 and 5700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5693 and 5700, than apply into the LCM equation.

GCF(5693,5700) = 1
LCM(5693,5700) = ( 5693 × 5700) / 1
LCM(5693,5700) = 32450100 / 1
LCM(5693,5700) = 32450100

Properties of LCM 5693 and 5700

(i) The LCM of 5700 and 5693 is associative

LCM of 5693 and 5700 = LCM of 5700 and 5693

Related Least Common Multiples of 5693

Related Least Common Multiples of 5700

Frequently Asked Questions on LCM of 5693 and 5700

1. What is the LCM of 5693 and 5700?

Answer: LCM of 5693 and 5700 is 32450100.

2. What are the Factors of 5693?

Answer: Factors of 5693 are 1, 5693. There are 2 integers that are factors of 5693. The greatest factor of 5693 is 5693.

3. 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.

4. How to Find the LCM of 5693 and 5700?

Answer:

Least Common Multiple of 5693 and 5700 = 32450100

Step 1: Find the prime factorization of 5693

5693 = 5693

Step 2: Find the prime factorization of 5700

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

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

LCM = 32450100 = 2 x 2 x 3 x 5 x 5 x 19 x 5693

Step 4: Therefore, the least common multiple of 5693 and 5700 is 32450100.