Least Common Multiple of 5768 and 5769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5768 and 5769 the smallest integer that is 33275592 that is divisible by both numbers.

Least Common Multiple (LCM) of 5768 and 5769 is 33275592.

LCM(5768,5769) = 33275592

LCM of 5768 and 5769

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

LCM of:
and

Least Common Multiple of 5768 and 5769

LCM of 5768 and 5769 is 33275592

Least common multiple can be found by multiplying the highest exponent prime factors of 5768 and 5769. First we will calculate the prime factors of 5768 and 5769.

Prime Factorization of 5768


2 5768
2 2884
2 1442
7 721
103 103
1

Prime factors of 5768 are 2, 7,103. Prime factorization of 5768 in exponential form is:

5768 = 23×71×1031

Prime Factorization of 5769


3 5769
3 1923
641 641
1

Prime factors of 5769 are 3,641. Prime factorization of 5769 in exponential form is:

5769 = 32×6411

Now multiplying the highest exponent prime factors to calculate the LCM of 5768 and 5769.

LCM(5768,5769) = 23×32×71×1031×6411
LCM(5768,5769) = 33275592

Factors of 5768

List of positive integer factors of 5768 that divides 5768 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768

Factors of 5769

List of positive integer factors of 5769 that divides 5769 without a remainder.

1, 3, 9, 641, 1923, 5769

Least Common Multiple of 5768 and 5769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5768 and 5769, than apply into the LCM equation.

GCF(5768,5769) = 1
LCM(5768,5769) = ( 5768 × 5769) / 1
LCM(5768,5769) = 33275592 / 1
LCM(5768,5769) = 33275592

Properties of LCM 5768 and 5769

(i) The LCM of 5769 and 5768 is associative

LCM of 5768 and 5769 = LCM of 5769 and 5768

Related Least Common Multiples of 5768

Related Least Common Multiples of 5769

Frequently Asked Questions on LCM of 5768 and 5769

1. What is the LCM of 5768 and 5769?

Answer: LCM of 5768 and 5769 is 33275592.

2. What are the Factors of 5768?

Answer: Factors of 5768 are 1, 2, 4, 7, 8, 14, 28, 56, 103, 206, 412, 721, 824, 1442, 2884, 5768. There are 16 integers that are factors of 5768. The greatest factor of 5768 is 5768.

3. What are the Factors of 5769?

Answer: Factors of 5769 are 1, 3, 9, 641, 1923, 5769. There are 6 integers that are factors of 5769. The greatest factor of 5769 is 5769.

4. How to Find the LCM of 5768 and 5769?

Answer:

Least Common Multiple of 5768 and 5769 = 33275592

Step 1: Find the prime factorization of 5768

5768 = 2 x 2 x 2 x 7 x 103

Step 2: Find the prime factorization of 5769

5769 = 3 x 3 x 641

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

LCM = 33275592 = 2 x 2 x 2 x 3 x 3 x 7 x 103 x 641

Step 4: Therefore, the least common multiple of 5768 and 5769 is 33275592.