Least Common Multiple of 2068 and 2072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 2068 and 2072 the smallest integer that is 1071224 that is divisible by both numbers.

Least Common Multiple (LCM) of 2068 and 2072 is 1071224.

LCM(2068,2072) = 1071224

LCM of 2068 and 2072

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

LCM of:
and

Least Common Multiple of 2068 and 2072

LCM of 2068 and 2072 is 1071224

Least common multiple can be found by multiplying the highest exponent prime factors of 2068 and 2072. First we will calculate the prime factors of 2068 and 2072.

Prime Factorization of 2068


2 2068
2 1034
11 517
47 47
1

Prime factors of 2068 are 2, 11,47. Prime factorization of 2068 in exponential form is:

2068 = 22×111×471

Prime Factorization of 2072


2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 2072 are 2, 7,37. Prime factorization of 2072 in exponential form is:

2072 = 23×71×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2068 and 2072.

LCM(2068,2072) = 23×71×111×371×471
LCM(2068,2072) = 1071224

Factors of 2068

List of positive integer factors of 2068 that divides 2068 without a remainder.

1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068

Factors of 2072

List of positive integer factors of 2072 that divides 2072 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072

Least Common Multiple of 2068 and 2072 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2068 and 2072, than apply into the LCM equation.

GCF(2068,2072) = 4
LCM(2068,2072) = ( 2068 × 2072) / 4
LCM(2068,2072) = 4284896 / 4
LCM(2068,2072) = 1071224

Properties of LCM 2068 and 2072

(i) The LCM of 2072 and 2068 is associative

LCM of 2068 and 2072 = LCM of 2072 and 2068

Frequently Asked Questions on LCM of 2068 and 2072

1. What is the LCM of 2068 and 2072?

Answer: LCM of 2068 and 2072 is 1071224.

2. What are the Factors of 2068?

Answer: Factors of 2068 are 1, 2, 4, 11, 22, 44, 47, 94, 188, 517, 1034, 2068. There are 12 integers that are factors of 2068. The greatest factor of 2068 is 2068.

3. What are the Factors of 2072?

Answer: Factors of 2072 are 1, 2, 4, 7, 8, 14, 28, 37, 56, 74, 148, 259, 296, 518, 1036, 2072. There are 16 integers that are factors of 2072. The greatest factor of 2072 is 2072.

4. How to Find the LCM of 2068 and 2072?

Answer:

Least Common Multiple of 2068 and 2072 = 1071224

Step 1: Find the prime factorization of 2068

2068 = 2 x 2 x 11 x 47

Step 2: Find the prime factorization of 2072

2072 = 2 x 2 x 2 x 7 x 37

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

LCM = 1071224 = 2 x 2 x 2 x 7 x 11 x 37 x 47

Step 4: Therefore, the least common multiple of 2068 and 2072 is 1071224.