Least Common Multiple of 5696 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 5696 and 5700 the smallest integer that is 8116800 that is divisible by both numbers.

Least Common Multiple (LCM) of 5696 and 5700 is 8116800.

LCM(5696,5700) = 8116800

LCM of 5696 and 5700

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

LCM of:
and

Least Common Multiple of 5696 and 5700

LCM of 5696 and 5700 is 8116800

Least common multiple can be found by multiplying the highest exponent prime factors of 5696 and 5700. First we will calculate the prime factors of 5696 and 5700.

Prime Factorization of 5696


2 5696
2 2848
2 1424
2 712
2 356
2 178
89 89
1

Prime factors of 5696 are 2,89. Prime factorization of 5696 in exponential form is:

5696 = 26×891

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 5696 and 5700.

LCM(5696,5700) = 26×31×52×191×891
LCM(5696,5700) = 8116800

Factors of 5696

List of positive integer factors of 5696 that divides 5696 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696

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 5696 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 5696 and 5700, than apply into the LCM equation.

GCF(5696,5700) = 4
LCM(5696,5700) = ( 5696 × 5700) / 4
LCM(5696,5700) = 32467200 / 4
LCM(5696,5700) = 8116800

Properties of LCM 5696 and 5700

(i) The LCM of 5700 and 5696 is associative

LCM of 5696 and 5700 = LCM of 5700 and 5696

Related Least Common Multiples of 5696

Related Least Common Multiples of 5700

Frequently Asked Questions on LCM of 5696 and 5700

1. What is the LCM of 5696 and 5700?

Answer: LCM of 5696 and 5700 is 8116800.

2. What are the Factors of 5696?

Answer: Factors of 5696 are 1, 2, 4, 8, 16, 32, 64, 89, 178, 356, 712, 1424, 2848, 5696. There are 14 integers that are factors of 5696. The greatest factor of 5696 is 5696.

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 5696 and 5700?

Answer:

Least Common Multiple of 5696 and 5700 = 8116800

Step 1: Find the prime factorization of 5696

5696 = 2 x 2 x 2 x 2 x 2 x 2 x 89

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 = 8116800 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 5 x 19 x 89

Step 4: Therefore, the least common multiple of 5696 and 5700 is 8116800.