Least Common Multiple of 5765 and 5771

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 5771 the smallest integer that is 33269815 that is divisible by both numbers.

Least Common Multiple (LCM) of 5765 and 5771 is 33269815.

LCM(5765,5771) = 33269815

LCM of 5765 and 5771

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

LCM of:
and

Least Common Multiple of 5765 and 5771

LCM of 5765 and 5771 is 33269815

Least common multiple can be found by multiplying the highest exponent prime factors of 5765 and 5771. First we will calculate the prime factors of 5765 and 5771.

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 5771


29 5771
199 199
1

Prime factors of 5771 are 29,199. Prime factorization of 5771 in exponential form is:

5771 = 291×1991

Now multiplying the highest exponent prime factors to calculate the LCM of 5765 and 5771.

LCM(5765,5771) = 51×291×1991×11531
LCM(5765,5771) = 33269815

Factors of 5765

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

1, 5, 1153, 5765

Factors of 5771

List of positive integer factors of 5771 that divides 5771 without a remainder.

1, 29, 199, 5771

Least Common Multiple of 5765 and 5771 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 5771, than apply into the LCM equation.

GCF(5765,5771) = 1
LCM(5765,5771) = ( 5765 × 5771) / 1
LCM(5765,5771) = 33269815 / 1
LCM(5765,5771) = 33269815

Properties of LCM 5765 and 5771

(i) The LCM of 5771 and 5765 is associative

LCM of 5765 and 5771 = LCM of 5771 and 5765

Related Least Common Multiples of 5765

Related Least Common Multiples of 5771

Frequently Asked Questions on LCM of 5765 and 5771

1. What is the LCM of 5765 and 5771?

Answer: LCM of 5765 and 5771 is 33269815.

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 5771?

Answer: Factors of 5771 are 1, 29, 199, 5771. There are 4 integers that are factors of 5771. The greatest factor of 5771 is 5771.

4. How to Find the LCM of 5765 and 5771?

Answer:

Least Common Multiple of 5765 and 5771 = 33269815

Step 1: Find the prime factorization of 5765

5765 = 5 x 1153

Step 2: Find the prime factorization of 5771

5771 = 29 x 199

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

LCM = 33269815 = 5 x 29 x 199 x 1153

Step 4: Therefore, the least common multiple of 5765 and 5771 is 33269815.