Least Common Multiple of 2768 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 2768 and 2772 the smallest integer that is 1918224 that is divisible by both numbers.

Least Common Multiple (LCM) of 2768 and 2772 is 1918224.

LCM(2768,2772) = 1918224

LCM of 2768 and 2772

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

LCM of:
and

Least Common Multiple of 2768 and 2772

LCM of 2768 and 2772 is 1918224

Least common multiple can be found by multiplying the highest exponent prime factors of 2768 and 2772. First we will calculate the prime factors of 2768 and 2772.

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

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 2768 and 2772.

LCM(2768,2772) = 24×32×71×111×1731
LCM(2768,2772) = 1918224

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

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 2768 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 2768 and 2772, than apply into the LCM equation.

GCF(2768,2772) = 4
LCM(2768,2772) = ( 2768 × 2772) / 4
LCM(2768,2772) = 7672896 / 4
LCM(2768,2772) = 1918224

Properties of LCM 2768 and 2772

(i) The LCM of 2772 and 2768 is associative

LCM of 2768 and 2772 = LCM of 2772 and 2768

Related Least Common Multiples of 2768

Related Least Common Multiples of 2772

Frequently Asked Questions on LCM of 2768 and 2772

1. What is the LCM of 2768 and 2772?

Answer: LCM of 2768 and 2772 is 1918224.

2. 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.

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 2768 and 2772?

Answer:

Least Common Multiple of 2768 and 2772 = 1918224

Step 1: Find the prime factorization of 2768

2768 = 2 x 2 x 2 x 2 x 173

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 = 1918224 = 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 173

Step 4: Therefore, the least common multiple of 2768 and 2772 is 1918224.