Least Common Multiple of 2764 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 2764 and 2771 the smallest integer that is 7659044 that is divisible by both numbers.

Least Common Multiple (LCM) of 2764 and 2771 is 7659044.

LCM(2764,2771) = 7659044

LCM of 2764 and 2771

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

LCM of:
and

Least Common Multiple of 2764 and 2771

LCM of 2764 and 2771 is 7659044

Least common multiple can be found by multiplying the highest exponent prime factors of 2764 and 2771. First we will calculate the prime factors of 2764 and 2771.

Prime Factorization of 2764


2 2764
2 1382
691 691
1

Prime factors of 2764 are 2,691. Prime factorization of 2764 in exponential form is:

2764 = 22×6911

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 2764 and 2771.

LCM(2764,2771) = 22×171×1631×6911
LCM(2764,2771) = 7659044

Factors of 2764

List of positive integer factors of 2764 that divides 2764 without a remainder.

1, 2, 4, 691, 1382, 2764

Factors of 2771

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

1, 17, 163, 2771

Least Common Multiple of 2764 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 2764 and 2771, than apply into the LCM equation.

GCF(2764,2771) = 1
LCM(2764,2771) = ( 2764 × 2771) / 1
LCM(2764,2771) = 7659044 / 1
LCM(2764,2771) = 7659044

Properties of LCM 2764 and 2771

(i) The LCM of 2771 and 2764 is associative

LCM of 2764 and 2771 = LCM of 2771 and 2764

Related Least Common Multiples of 2764

Related Least Common Multiples of 2771

Frequently Asked Questions on LCM of 2764 and 2771

1. What is the LCM of 2764 and 2771?

Answer: LCM of 2764 and 2771 is 7659044.

2. What are the Factors of 2764?

Answer: Factors of 2764 are 1, 2, 4, 691, 1382, 2764. There are 6 integers that are factors of 2764. The greatest factor of 2764 is 2764.

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 2764 and 2771?

Answer:

Least Common Multiple of 2764 and 2771 = 7659044

Step 1: Find the prime factorization of 2764

2764 = 2 x 2 x 691

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 = 7659044 = 2 x 2 x 17 x 163 x 691

Step 4: Therefore, the least common multiple of 2764 and 2771 is 7659044.