Least Common Multiple of 2068 and 2074

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 2074 the smallest integer that is 2144516 that is divisible by both numbers.

Least Common Multiple (LCM) of 2068 and 2074 is 2144516.

LCM(2068,2074) = 2144516

LCM of 2068 and 2074

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

LCM of:
and

Least Common Multiple of 2068 and 2074

LCM of 2068 and 2074 is 2144516

Least common multiple can be found by multiplying the highest exponent prime factors of 2068 and 2074. First we will calculate the prime factors of 2068 and 2074.

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 2074


2 2074
17 1037
61 61
1

Prime factors of 2074 are 2, 17,61. Prime factorization of 2074 in exponential form is:

2074 = 21×171×611

Now multiplying the highest exponent prime factors to calculate the LCM of 2068 and 2074.

LCM(2068,2074) = 22×111×171×471×611
LCM(2068,2074) = 2144516

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 2074

List of positive integer factors of 2074 that divides 2074 without a remainder.

1, 2, 17, 34, 61, 122, 1037, 2074

Least Common Multiple of 2068 and 2074 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 2074, than apply into the LCM equation.

GCF(2068,2074) = 2
LCM(2068,2074) = ( 2068 × 2074) / 2
LCM(2068,2074) = 4289032 / 2
LCM(2068,2074) = 2144516

Properties of LCM 2068 and 2074

(i) The LCM of 2074 and 2068 is associative

LCM of 2068 and 2074 = LCM of 2074 and 2068

Related Least Common Multiples of 2068

Related Least Common Multiples of 2074

Frequently Asked Questions on LCM of 2068 and 2074

1. What is the LCM of 2068 and 2074?

Answer: LCM of 2068 and 2074 is 2144516.

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 2074?

Answer: Factors of 2074 are 1, 2, 17, 34, 61, 122, 1037, 2074. There are 8 integers that are factors of 2074. The greatest factor of 2074 is 2074.

4. How to Find the LCM of 2068 and 2074?

Answer:

Least Common Multiple of 2068 and 2074 = 2144516

Step 1: Find the prime factorization of 2068

2068 = 2 x 2 x 11 x 47

Step 2: Find the prime factorization of 2074

2074 = 2 x 17 x 61

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

LCM = 2144516 = 2 x 2 x 11 x 17 x 47 x 61

Step 4: Therefore, the least common multiple of 2068 and 2074 is 2144516.