Least Common Multiple of 2767 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 2767 and 2775 the smallest integer that is 7678425 that is divisible by both numbers.

Least Common Multiple (LCM) of 2767 and 2775 is 7678425.

LCM(2767,2775) = 7678425

LCM of 2767 and 2775

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

LCM of:
and

Least Common Multiple of 2767 and 2775

LCM of 2767 and 2775 is 7678425

Least common multiple can be found by multiplying the highest exponent prime factors of 2767 and 2775. First we will calculate the prime factors of 2767 and 2775.

Prime Factorization of 2767


2767 2767
1

Prime factors of 2767 are 2767. Prime factorization of 2767 in exponential form is:

2767 = 27671

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 2767 and 2775.

LCM(2767,2775) = 31×52×371×27671
LCM(2767,2775) = 7678425

Factors of 2767

List of positive integer factors of 2767 that divides 2767 without a remainder.

1, 2767

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 2767 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 2767 and 2775, than apply into the LCM equation.

GCF(2767,2775) = 1
LCM(2767,2775) = ( 2767 × 2775) / 1
LCM(2767,2775) = 7678425 / 1
LCM(2767,2775) = 7678425

Properties of LCM 2767 and 2775

(i) The LCM of 2775 and 2767 is associative

LCM of 2767 and 2775 = LCM of 2775 and 2767

Related Least Common Multiples of 2767

Related Least Common Multiples of 2775

Frequently Asked Questions on LCM of 2767 and 2775

1. What is the LCM of 2767 and 2775?

Answer: LCM of 2767 and 2775 is 7678425.

2. What are the Factors of 2767?

Answer: Factors of 2767 are 1, 2767. There are 2 integers that are factors of 2767. The greatest factor of 2767 is 2767.

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 2767 and 2775?

Answer:

Least Common Multiple of 2767 and 2775 = 7678425

Step 1: Find the prime factorization of 2767

2767 = 2767

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 = 7678425 = 3 x 5 x 5 x 37 x 2767

Step 4: Therefore, the least common multiple of 2767 and 2775 is 7678425.