Least Common Multiple of 2767 and 2771

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 2771 the smallest integer that is 7667357 that is divisible by both numbers.

Least Common Multiple (LCM) of 2767 and 2771 is 7667357.

LCM(2767,2771) = 7667357

LCM of 2767 and 2771

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

LCM of:
and

Least Common Multiple of 2767 and 2771

LCM of 2767 and 2771 is 7667357

Least common multiple can be found by multiplying the highest exponent prime factors of 2767 and 2771. First we will calculate the prime factors of 2767 and 2771.

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 2771


17 2771
163 163
1

Prime factors of 2771 are 17,163. Prime factorization of 2771 in exponential form is:

2771 = 171×1631

Now multiplying the highest exponent prime factors to calculate the LCM of 2767 and 2771.

LCM(2767,2771) = 171×1631×27671
LCM(2767,2771) = 7667357

Factors of 2767

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

1, 2767

Factors of 2771

List of positive integer factors of 2771 that divides 2771 without a remainder.

1, 17, 163, 2771

Least Common Multiple of 2767 and 2771 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 2771, than apply into the LCM equation.

GCF(2767,2771) = 1
LCM(2767,2771) = ( 2767 × 2771) / 1
LCM(2767,2771) = 7667357 / 1
LCM(2767,2771) = 7667357

Properties of LCM 2767 and 2771

(i) The LCM of 2771 and 2767 is associative

LCM of 2767 and 2771 = LCM of 2771 and 2767

Related Least Common Multiples of 2767

Related Least Common Multiples of 2771

Frequently Asked Questions on LCM of 2767 and 2771

1. What is the LCM of 2767 and 2771?

Answer: LCM of 2767 and 2771 is 7667357.

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 2771?

Answer: Factors of 2771 are 1, 17, 163, 2771. There are 4 integers that are factors of 2771. The greatest factor of 2771 is 2771.

4. How to Find the LCM of 2767 and 2771?

Answer:

Least Common Multiple of 2767 and 2771 = 7667357

Step 1: Find the prime factorization of 2767

2767 = 2767

Step 2: Find the prime factorization of 2771

2771 = 17 x 163

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

LCM = 7667357 = 17 x 163 x 2767

Step 4: Therefore, the least common multiple of 2767 and 2771 is 7667357.