Least Common Multiple of 5765 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 5765 and 5769 the smallest integer that is 33258285 that is divisible by both numbers.

Least Common Multiple (LCM) of 5765 and 5769 is 33258285.

LCM(5765,5769) = 33258285

LCM of 5765 and 5769

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

LCM of:
and

Least Common Multiple of 5765 and 5769

LCM of 5765 and 5769 is 33258285

Least common multiple can be found by multiplying the highest exponent prime factors of 5765 and 5769. First we will calculate the prime factors of 5765 and 5769.

Prime Factorization of 5765


5 5765
1153 1153
1

Prime factors of 5765 are 5,1153. Prime factorization of 5765 in exponential form is:

5765 = 51×11531

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 5765 and 5769.

LCM(5765,5769) = 32×51×6411×11531
LCM(5765,5769) = 33258285

Factors of 5765

List of positive integer factors of 5765 that divides 5765 without a remainder.

1, 5, 1153, 5765

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 5765 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 5765 and 5769, than apply into the LCM equation.

GCF(5765,5769) = 1
LCM(5765,5769) = ( 5765 × 5769) / 1
LCM(5765,5769) = 33258285 / 1
LCM(5765,5769) = 33258285

Properties of LCM 5765 and 5769

(i) The LCM of 5769 and 5765 is associative

LCM of 5765 and 5769 = LCM of 5769 and 5765

Related Least Common Multiples of 5765

Related Least Common Multiples of 5769

Frequently Asked Questions on LCM of 5765 and 5769

1. What is the LCM of 5765 and 5769?

Answer: LCM of 5765 and 5769 is 33258285.

2. What are the Factors of 5765?

Answer: Factors of 5765 are 1, 5, 1153, 5765. There are 4 integers that are factors of 5765. The greatest factor of 5765 is 5765.

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 5765 and 5769?

Answer:

Least Common Multiple of 5765 and 5769 = 33258285

Step 1: Find the prime factorization of 5765

5765 = 5 x 1153

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 = 33258285 = 3 x 3 x 5 x 641 x 1153

Step 4: Therefore, the least common multiple of 5765 and 5769 is 33258285.