Least Common Multiple of 2764 and 2768

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 2768 the smallest integer that is 1912688 that is divisible by both numbers.

Least Common Multiple (LCM) of 2764 and 2768 is 1912688.

LCM(2764,2768) = 1912688

LCM of 2764 and 2768

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

LCM of:
and

Least Common Multiple of 2764 and 2768

LCM of 2764 and 2768 is 1912688

Least common multiple can be found by multiplying the highest exponent prime factors of 2764 and 2768. First we will calculate the prime factors of 2764 and 2768.

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 2768


2 2768
2 1384
2 692
2 346
173 173
1

Prime factors of 2768 are 2,173. Prime factorization of 2768 in exponential form is:

2768 = 24×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 2764 and 2768.

LCM(2764,2768) = 24×1731×6911
LCM(2764,2768) = 1912688

Factors of 2764

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

1, 2, 4, 691, 1382, 2764

Factors of 2768

List of positive integer factors of 2768 that divides 2768 without a remainder.

1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768

Least Common Multiple of 2764 and 2768 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 2768, than apply into the LCM equation.

GCF(2764,2768) = 4
LCM(2764,2768) = ( 2764 × 2768) / 4
LCM(2764,2768) = 7650752 / 4
LCM(2764,2768) = 1912688

Properties of LCM 2764 and 2768

(i) The LCM of 2768 and 2764 is associative

LCM of 2764 and 2768 = LCM of 2768 and 2764

Related Least Common Multiples of 2764

Related Least Common Multiples of 2768

Frequently Asked Questions on LCM of 2764 and 2768

1. What is the LCM of 2764 and 2768?

Answer: LCM of 2764 and 2768 is 1912688.

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 2768?

Answer: Factors of 2768 are 1, 2, 4, 8, 16, 173, 346, 692, 1384, 2768. There are 10 integers that are factors of 2768. The greatest factor of 2768 is 2768.

4. How to Find the LCM of 2764 and 2768?

Answer:

Least Common Multiple of 2764 and 2768 = 1912688

Step 1: Find the prime factorization of 2764

2764 = 2 x 2 x 691

Step 2: Find the prime factorization of 2768

2768 = 2 x 2 x 2 x 2 x 173

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

LCM = 1912688 = 2 x 2 x 2 x 2 x 173 x 691

Step 4: Therefore, the least common multiple of 2764 and 2768 is 1912688.