Least Common Multiple of 2769 and 2775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2769 and 2775 the smallest integer that is 2561325 that is divisible by both numbers.

Least Common Multiple (LCM) of 2769 and 2775 is 2561325.

LCM(2769,2775) = 2561325

LCM of 2769 and 2775

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

LCM of:
and

Least Common Multiple of 2769 and 2775

LCM of 2769 and 2775 is 2561325

Least common multiple can be found by multiplying the highest exponent prime factors of 2769 and 2775. First we will calculate the prime factors of 2769 and 2775.

Prime Factorization of 2769


3 2769
13 923
71 71
1

Prime factors of 2769 are 3, 13,71. Prime factorization of 2769 in exponential form is:

2769 = 31×131×711

Prime Factorization of 2775


3 2775
5 925
5 185
37 37
1

Prime factors of 2775 are 3, 5,37. Prime factorization of 2775 in exponential form is:

2775 = 31×52×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2769 and 2775.

LCM(2769,2775) = 31×52×131×371×711
LCM(2769,2775) = 2561325

Factors of 2769

List of positive integer factors of 2769 that divides 2769 without a remainder.

1, 3, 13, 39, 71, 213, 923, 2769

Factors of 2775

List of positive integer factors of 2775 that divides 2775 without a remainder.

1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775

Least Common Multiple of 2769 and 2775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2769 and 2775, than apply into the LCM equation.

GCF(2769,2775) = 3
LCM(2769,2775) = ( 2769 × 2775) / 3
LCM(2769,2775) = 7683975 / 3
LCM(2769,2775) = 2561325

Properties of LCM 2769 and 2775

(i) The LCM of 2775 and 2769 is associative

LCM of 2769 and 2775 = LCM of 2775 and 2769

Related Least Common Multiples of 2769

Related Least Common Multiples of 2775

Frequently Asked Questions on LCM of 2769 and 2775

1. What is the LCM of 2769 and 2775?

Answer: LCM of 2769 and 2775 is 2561325.

2. What are the Factors of 2769?

Answer: Factors of 2769 are 1, 3, 13, 39, 71, 213, 923, 2769. There are 8 integers that are factors of 2769. The greatest factor of 2769 is 2769.

3. What are the Factors of 2775?

Answer: Factors of 2775 are 1, 3, 5, 15, 25, 37, 75, 111, 185, 555, 925, 2775. There are 12 integers that are factors of 2775. The greatest factor of 2775 is 2775.

4. How to Find the LCM of 2769 and 2775?

Answer:

Least Common Multiple of 2769 and 2775 = 2561325

Step 1: Find the prime factorization of 2769

2769 = 3 x 13 x 71

Step 2: Find the prime factorization of 2775

2775 = 3 x 5 x 5 x 37

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

LCM = 2561325 = 3 x 5 x 5 x 13 x 37 x 71

Step 4: Therefore, the least common multiple of 2769 and 2775 is 2561325.