Least Common Multiple of 2773 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 2773 and 2775 the smallest integer that is 7695075 that is divisible by both numbers.

Least Common Multiple (LCM) of 2773 and 2775 is 7695075.

LCM(2773,2775) = 7695075

LCM of 2773 and 2775

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

LCM of:
and

Least Common Multiple of 2773 and 2775

LCM of 2773 and 2775 is 7695075

Least common multiple can be found by multiplying the highest exponent prime factors of 2773 and 2775. First we will calculate the prime factors of 2773 and 2775.

Prime Factorization of 2773


47 2773
59 59
1

Prime factors of 2773 are 47,59. Prime factorization of 2773 in exponential form is:

2773 = 471×591

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 2773 and 2775.

LCM(2773,2775) = 31×52×371×471×591
LCM(2773,2775) = 7695075

Factors of 2773

List of positive integer factors of 2773 that divides 2773 without a remainder.

1, 47, 59, 2773

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 2773 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 2773 and 2775, than apply into the LCM equation.

GCF(2773,2775) = 1
LCM(2773,2775) = ( 2773 × 2775) / 1
LCM(2773,2775) = 7695075 / 1
LCM(2773,2775) = 7695075

Properties of LCM 2773 and 2775

(i) The LCM of 2775 and 2773 is associative

LCM of 2773 and 2775 = LCM of 2775 and 2773

Related Least Common Multiples of 2773

Related Least Common Multiples of 2775

Frequently Asked Questions on LCM of 2773 and 2775

1. What is the LCM of 2773 and 2775?

Answer: LCM of 2773 and 2775 is 7695075.

2. What are the Factors of 2773?

Answer: Factors of 2773 are 1, 47, 59, 2773. There are 4 integers that are factors of 2773. The greatest factor of 2773 is 2773.

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 2773 and 2775?

Answer:

Least Common Multiple of 2773 and 2775 = 7695075

Step 1: Find the prime factorization of 2773

2773 = 47 x 59

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 = 7695075 = 3 x 5 x 5 x 37 x 47 x 59

Step 4: Therefore, the least common multiple of 2773 and 2775 is 7695075.