Least Common Multiple of 2681 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 2681 and 2688 the smallest integer that is 1029504 that is divisible by both numbers.

Least Common Multiple (LCM) of 2681 and 2688 is 1029504.

LCM(2681,2688) = 1029504

LCM of 2681 and 2688

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

LCM of:
and

Least Common Multiple of 2681 and 2688

LCM of 2681 and 2688 is 1029504

Least common multiple can be found by multiplying the highest exponent prime factors of 2681 and 2688. First we will calculate the prime factors of 2681 and 2688.

Prime Factorization of 2681


7 2681
383 383
1

Prime factors of 2681 are 7,383. Prime factorization of 2681 in exponential form is:

2681 = 71×3831

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 2681 and 2688.

LCM(2681,2688) = 27×31×71×3831
LCM(2681,2688) = 1029504

Factors of 2681

List of positive integer factors of 2681 that divides 2681 without a remainder.

1, 7, 383, 2681

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 2681 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 2681 and 2688, than apply into the LCM equation.

GCF(2681,2688) = 7
LCM(2681,2688) = ( 2681 × 2688) / 7
LCM(2681,2688) = 7206528 / 7
LCM(2681,2688) = 1029504

Properties of LCM 2681 and 2688

(i) The LCM of 2688 and 2681 is associative

LCM of 2681 and 2688 = LCM of 2688 and 2681

Related Least Common Multiples of 2681

Related Least Common Multiples of 2688

Frequently Asked Questions on LCM of 2681 and 2688

1. What is the LCM of 2681 and 2688?

Answer: LCM of 2681 and 2688 is 1029504.

2. What are the Factors of 2681?

Answer: Factors of 2681 are 1, 7, 383, 2681. There are 4 integers that are factors of 2681. The greatest factor of 2681 is 2681.

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 2681 and 2688?

Answer:

Least Common Multiple of 2681 and 2688 = 1029504

Step 1: Find the prime factorization of 2681

2681 = 7 x 383

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 = 1029504 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 7 x 383

Step 4: Therefore, the least common multiple of 2681 and 2688 is 1029504.