Least Common Multiple of 2779 and 2784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2779 and 2784 the smallest integer that is 7736736 that is divisible by both numbers.

Least Common Multiple (LCM) of 2779 and 2784 is 7736736.

LCM(2779,2784) = 7736736

LCM of 2779 and 2784

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

LCM of:
and

Least Common Multiple of 2779 and 2784

LCM of 2779 and 2784 is 7736736

Least common multiple can be found by multiplying the highest exponent prime factors of 2779 and 2784. First we will calculate the prime factors of 2779 and 2784.

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

Prime Factorization of 2784


2 2784
2 1392
2 696
2 348
2 174
3 87
29 29
1

Prime factors of 2784 are 2, 3,29. Prime factorization of 2784 in exponential form is:

2784 = 25×31×291

Now multiplying the highest exponent prime factors to calculate the LCM of 2779 and 2784.

LCM(2779,2784) = 25×31×71×291×3971
LCM(2779,2784) = 7736736

Factors of 2779

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

1, 7, 397, 2779

Factors of 2784

List of positive integer factors of 2784 that divides 2784 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784

Least Common Multiple of 2779 and 2784 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2779 and 2784, than apply into the LCM equation.

GCF(2779,2784) = 1
LCM(2779,2784) = ( 2779 × 2784) / 1
LCM(2779,2784) = 7736736 / 1
LCM(2779,2784) = 7736736

Properties of LCM 2779 and 2784

(i) The LCM of 2784 and 2779 is associative

LCM of 2779 and 2784 = LCM of 2784 and 2779

Related Least Common Multiples of 2779

Related Least Common Multiples of 2784

Frequently Asked Questions on LCM of 2779 and 2784

1. What is the LCM of 2779 and 2784?

Answer: LCM of 2779 and 2784 is 7736736.

2. 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.

3. What are the Factors of 2784?

Answer: Factors of 2784 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 29, 32, 48, 58, 87, 96, 116, 174, 232, 348, 464, 696, 928, 1392, 2784. There are 24 integers that are factors of 2784. The greatest factor of 2784 is 2784.

4. How to Find the LCM of 2779 and 2784?

Answer:

Least Common Multiple of 2779 and 2784 = 7736736

Step 1: Find the prime factorization of 2779

2779 = 7 x 397

Step 2: Find the prime factorization of 2784

2784 = 2 x 2 x 2 x 2 x 2 x 3 x 29

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

LCM = 7736736 = 2 x 2 x 2 x 2 x 2 x 3 x 7 x 29 x 397

Step 4: Therefore, the least common multiple of 2779 and 2784 is 7736736.