Least Common Multiple of 2772 and 2778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2772 and 2778 the smallest integer that is 1283436 that is divisible by both numbers.

Least Common Multiple (LCM) of 2772 and 2778 is 1283436.

LCM(2772,2778) = 1283436

LCM of 2772 and 2778

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

LCM of:
and

Least Common Multiple of 2772 and 2778

LCM of 2772 and 2778 is 1283436

Least common multiple can be found by multiplying the highest exponent prime factors of 2772 and 2778. First we will calculate the prime factors of 2772 and 2778.

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

Prime Factorization of 2778


2 2778
3 1389
463 463
1

Prime factors of 2778 are 2, 3,463. Prime factorization of 2778 in exponential form is:

2778 = 21×31×4631

Now multiplying the highest exponent prime factors to calculate the LCM of 2772 and 2778.

LCM(2772,2778) = 22×32×71×111×4631
LCM(2772,2778) = 1283436

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

Factors of 2778

List of positive integer factors of 2778 that divides 2778 without a remainder.

1, 2, 3, 6, 463, 926, 1389, 2778

Least Common Multiple of 2772 and 2778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2772 and 2778, than apply into the LCM equation.

GCF(2772,2778) = 6
LCM(2772,2778) = ( 2772 × 2778) / 6
LCM(2772,2778) = 7700616 / 6
LCM(2772,2778) = 1283436

Properties of LCM 2772 and 2778

(i) The LCM of 2778 and 2772 is associative

LCM of 2772 and 2778 = LCM of 2778 and 2772

Related Least Common Multiples of 2772

Related Least Common Multiples of 2778

Frequently Asked Questions on LCM of 2772 and 2778

1. What is the LCM of 2772 and 2778?

Answer: LCM of 2772 and 2778 is 1283436.

2. 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.

3. What are the Factors of 2778?

Answer: Factors of 2778 are 1, 2, 3, 6, 463, 926, 1389, 2778. There are 8 integers that are factors of 2778. The greatest factor of 2778 is 2778.

4. How to Find the LCM of 2772 and 2778?

Answer:

Least Common Multiple of 2772 and 2778 = 1283436

Step 1: Find the prime factorization of 2772

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

Step 2: Find the prime factorization of 2778

2778 = 2 x 3 x 463

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

LCM = 1283436 = 2 x 2 x 3 x 3 x 7 x 11 x 463

Step 4: Therefore, the least common multiple of 2772 and 2778 is 1283436.