Least Common Multiple of 2772 and 2779

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 2779 the smallest integer that is 1100484 that is divisible by both numbers.

Least Common Multiple (LCM) of 2772 and 2779 is 1100484.

LCM(2772,2779) = 1100484

LCM of 2772 and 2779

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

LCM of:
and

Least Common Multiple of 2772 and 2779

LCM of 2772 and 2779 is 1100484

Least common multiple can be found by multiplying the highest exponent prime factors of 2772 and 2779. First we will calculate the prime factors of 2772 and 2779.

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 2779


7 2779
397 397
1

Prime factors of 2779 are 7,397. Prime factorization of 2779 in exponential form is:

2779 = 71×3971

Now multiplying the highest exponent prime factors to calculate the LCM of 2772 and 2779.

LCM(2772,2779) = 22×32×71×111×3971
LCM(2772,2779) = 1100484

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 2779

List of positive integer factors of 2779 that divides 2779 without a remainder.

1, 7, 397, 2779

Least Common Multiple of 2772 and 2779 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 2779, than apply into the LCM equation.

GCF(2772,2779) = 7
LCM(2772,2779) = ( 2772 × 2779) / 7
LCM(2772,2779) = 7703388 / 7
LCM(2772,2779) = 1100484

Properties of LCM 2772 and 2779

(i) The LCM of 2779 and 2772 is associative

LCM of 2772 and 2779 = LCM of 2779 and 2772

Related Least Common Multiples of 2772

Related Least Common Multiples of 2779

Frequently Asked Questions on LCM of 2772 and 2779

1. What is the LCM of 2772 and 2779?

Answer: LCM of 2772 and 2779 is 1100484.

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 2779?

Answer: Factors of 2779 are 1, 7, 397, 2779. There are 4 integers that are factors of 2779. The greatest factor of 2779 is 2779.

4. How to Find the LCM of 2772 and 2779?

Answer:

Least Common Multiple of 2772 and 2779 = 1100484

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 2779

2779 = 7 x 397

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

LCM = 1100484 = 2 x 2 x 3 x 3 x 7 x 11 x 397

Step 4: Therefore, the least common multiple of 2772 and 2779 is 1100484.