Least Common Multiple of 2764 and 2772

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 2772 the smallest integer that is 1915452 that is divisible by both numbers.

Least Common Multiple (LCM) of 2764 and 2772 is 1915452.

LCM(2764,2772) = 1915452

LCM of 2764 and 2772

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

LCM of:
and

Least Common Multiple of 2764 and 2772

LCM of 2764 and 2772 is 1915452

Least common multiple can be found by multiplying the highest exponent prime factors of 2764 and 2772. First we will calculate the prime factors of 2764 and 2772.

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 2772


2 2772
2 1386
3 693
3 231
7 77
11 11
1

Prime factors of 2772 are 2, 3, 7,11. Prime factorization of 2772 in exponential form is:

2772 = 22×32×71×111

Now multiplying the highest exponent prime factors to calculate the LCM of 2764 and 2772.

LCM(2764,2772) = 22×32×71×111×6911
LCM(2764,2772) = 1915452

Factors of 2764

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

1, 2, 4, 691, 1382, 2764

Factors of 2772

List of positive integer factors of 2772 that divides 2772 without a remainder.

1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772

Least Common Multiple of 2764 and 2772 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 2772, than apply into the LCM equation.

GCF(2764,2772) = 4
LCM(2764,2772) = ( 2764 × 2772) / 4
LCM(2764,2772) = 7661808 / 4
LCM(2764,2772) = 1915452

Properties of LCM 2764 and 2772

(i) The LCM of 2772 and 2764 is associative

LCM of 2764 and 2772 = LCM of 2772 and 2764

Related Least Common Multiples of 2764

Related Least Common Multiples of 2772

Frequently Asked Questions on LCM of 2764 and 2772

1. What is the LCM of 2764 and 2772?

Answer: LCM of 2764 and 2772 is 1915452.

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 2772?

Answer: Factors of 2772 are 1, 2, 3, 4, 6, 7, 9, 11, 12, 14, 18, 21, 22, 28, 33, 36, 42, 44, 63, 66, 77, 84, 99, 126, 132, 154, 198, 231, 252, 308, 396, 462, 693, 924, 1386, 2772. There are 36 integers that are factors of 2772. The greatest factor of 2772 is 2772.

4. How to Find the LCM of 2764 and 2772?

Answer:

Least Common Multiple of 2764 and 2772 = 1915452

Step 1: Find the prime factorization of 2764

2764 = 2 x 2 x 691

Step 2: Find the prime factorization of 2772

2772 = 2 x 2 x 3 x 3 x 7 x 11

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

LCM = 1915452 = 2 x 2 x 3 x 3 x 7 x 11 x 691

Step 4: Therefore, the least common multiple of 2764 and 2772 is 1915452.