Least Common Multiple of 2684 and 2688

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2684 and 2688 the smallest integer that is 1803648 that is divisible by both numbers.

Least Common Multiple (LCM) of 2684 and 2688 is 1803648.

LCM(2684,2688) = 1803648

LCM of 2684 and 2688

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

LCM of:
and

Least Common Multiple of 2684 and 2688

LCM of 2684 and 2688 is 1803648

Least common multiple can be found by multiplying the highest exponent prime factors of 2684 and 2688. First we will calculate the prime factors of 2684 and 2688.

Prime Factorization of 2684


2 2684
2 1342
11 671
61 61
1

Prime factors of 2684 are 2, 11,61. Prime factorization of 2684 in exponential form is:

2684 = 22×111×611

Prime Factorization of 2688


2 2688
2 1344
2 672
2 336
2 168
2 84
2 42
3 21
7 7
1

Prime factors of 2688 are 2, 3,7. Prime factorization of 2688 in exponential form is:

2688 = 27×31×71

Now multiplying the highest exponent prime factors to calculate the LCM of 2684 and 2688.

LCM(2684,2688) = 27×31×71×111×611
LCM(2684,2688) = 1803648

Factors of 2684

List of positive integer factors of 2684 that divides 2684 without a remainder.

1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684

Factors of 2688

List of positive integer factors of 2688 that divides 2688 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688

Least Common Multiple of 2684 and 2688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2684 and 2688, than apply into the LCM equation.

GCF(2684,2688) = 4
LCM(2684,2688) = ( 2684 × 2688) / 4
LCM(2684,2688) = 7214592 / 4
LCM(2684,2688) = 1803648

Properties of LCM 2684 and 2688

(i) The LCM of 2688 and 2684 is associative

LCM of 2684 and 2688 = LCM of 2688 and 2684

Related Least Common Multiples of 2684

Related Least Common Multiples of 2688

Frequently Asked Questions on LCM of 2684 and 2688

1. What is the LCM of 2684 and 2688?

Answer: LCM of 2684 and 2688 is 1803648.

2. What are the Factors of 2684?

Answer: Factors of 2684 are 1, 2, 4, 11, 22, 44, 61, 122, 244, 671, 1342, 2684. There are 12 integers that are factors of 2684. The greatest factor of 2684 is 2684.

3. What are the Factors of 2688?

Answer: Factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688. There are 32 integers that are factors of 2688. The greatest factor of 2688 is 2688.

4. How to Find the LCM of 2684 and 2688?

Answer:

Least Common Multiple of 2684 and 2688 = 1803648

Step 1: Find the prime factorization of 2684

2684 = 2 x 2 x 11 x 61

Step 2: Find the prime factorization of 2688

2688 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7

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

LCM = 1803648 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 11 x 61

Step 4: Therefore, the least common multiple of 2684 and 2688 is 1803648.