Least Common Multiple of 2766 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 2766 and 2772 the smallest integer that is 1277892 that is divisible by both numbers.

Least Common Multiple (LCM) of 2766 and 2772 is 1277892.

LCM(2766,2772) = 1277892

LCM of 2766 and 2772

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

LCM of:
and

Least Common Multiple of 2766 and 2772

LCM of 2766 and 2772 is 1277892

Least common multiple can be found by multiplying the highest exponent prime factors of 2766 and 2772. First we will calculate the prime factors of 2766 and 2772.

Prime Factorization of 2766


2 2766
3 1383
461 461
1

Prime factors of 2766 are 2, 3,461. Prime factorization of 2766 in exponential form is:

2766 = 21×31×4611

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 2766 and 2772.

LCM(2766,2772) = 22×32×71×111×4611
LCM(2766,2772) = 1277892

Factors of 2766

List of positive integer factors of 2766 that divides 2766 without a remainder.

1, 2, 3, 6, 461, 922, 1383, 2766

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 2766 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 2766 and 2772, than apply into the LCM equation.

GCF(2766,2772) = 6
LCM(2766,2772) = ( 2766 × 2772) / 6
LCM(2766,2772) = 7667352 / 6
LCM(2766,2772) = 1277892

Properties of LCM 2766 and 2772

(i) The LCM of 2772 and 2766 is associative

LCM of 2766 and 2772 = LCM of 2772 and 2766

Related Least Common Multiples of 2766

Related Least Common Multiples of 2772

Frequently Asked Questions on LCM of 2766 and 2772

1. What is the LCM of 2766 and 2772?

Answer: LCM of 2766 and 2772 is 1277892.

2. What are the Factors of 2766?

Answer: Factors of 2766 are 1, 2, 3, 6, 461, 922, 1383, 2766. There are 8 integers that are factors of 2766. The greatest factor of 2766 is 2766.

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 2766 and 2772?

Answer:

Least Common Multiple of 2766 and 2772 = 1277892

Step 1: Find the prime factorization of 2766

2766 = 2 x 3 x 461

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 = 1277892 = 2 x 2 x 3 x 3 x 7 x 11 x 461

Step 4: Therefore, the least common multiple of 2766 and 2772 is 1277892.