Least Common Multiple of 2767 and 2773

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 2773 the smallest integer that is 7672891 that is divisible by both numbers.

Least Common Multiple (LCM) of 2767 and 2773 is 7672891.

LCM(2767,2773) = 7672891

LCM of 2767 and 2773

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

LCM of:
and

Least Common Multiple of 2767 and 2773

LCM of 2767 and 2773 is 7672891

Least common multiple can be found by multiplying the highest exponent prime factors of 2767 and 2773. First we will calculate the prime factors of 2767 and 2773.

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 2773


47 2773
59 59
1

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

2773 = 471×591

Now multiplying the highest exponent prime factors to calculate the LCM of 2767 and 2773.

LCM(2767,2773) = 471×591×27671
LCM(2767,2773) = 7672891

Factors of 2767

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

1, 2767

Factors of 2773

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

1, 47, 59, 2773

Least Common Multiple of 2767 and 2773 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 2773, than apply into the LCM equation.

GCF(2767,2773) = 1
LCM(2767,2773) = ( 2767 × 2773) / 1
LCM(2767,2773) = 7672891 / 1
LCM(2767,2773) = 7672891

Properties of LCM 2767 and 2773

(i) The LCM of 2773 and 2767 is associative

LCM of 2767 and 2773 = LCM of 2773 and 2767

Related Least Common Multiples of 2767

Related Least Common Multiples of 2773

Frequently Asked Questions on LCM of 2767 and 2773

1. What is the LCM of 2767 and 2773?

Answer: LCM of 2767 and 2773 is 7672891.

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 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.

4. How to Find the LCM of 2767 and 2773?

Answer:

Least Common Multiple of 2767 and 2773 = 7672891

Step 1: Find the prime factorization of 2767

2767 = 2767

Step 2: Find the prime factorization of 2773

2773 = 47 x 59

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

LCM = 7672891 = 47 x 59 x 2767

Step 4: Therefore, the least common multiple of 2767 and 2773 is 7672891.