Least Common Multiple of 2069 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 2069 and 2074 the smallest integer that is 4291106 that is divisible by both numbers.

Least Common Multiple (LCM) of 2069 and 2074 is 4291106.

LCM(2069,2074) = 4291106

LCM of 2069 and 2074

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

LCM of:
and

Least Common Multiple of 2069 and 2074

LCM of 2069 and 2074 is 4291106

Least common multiple can be found by multiplying the highest exponent prime factors of 2069 and 2074. First we will calculate the prime factors of 2069 and 2074.

Prime Factorization of 2069


2069 2069
1

Prime factors of 2069 are 2069. Prime factorization of 2069 in exponential form is:

2069 = 20691

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 2069 and 2074.

LCM(2069,2074) = 21×171×611×20691
LCM(2069,2074) = 4291106

Factors of 2069

List of positive integer factors of 2069 that divides 2069 without a remainder.

1, 2069

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 2069 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 2069 and 2074, than apply into the LCM equation.

GCF(2069,2074) = 1
LCM(2069,2074) = ( 2069 × 2074) / 1
LCM(2069,2074) = 4291106 / 1
LCM(2069,2074) = 4291106

Properties of LCM 2069 and 2074

(i) The LCM of 2074 and 2069 is associative

LCM of 2069 and 2074 = LCM of 2074 and 2069

Related Least Common Multiples of 2069

Related Least Common Multiples of 2074

Frequently Asked Questions on LCM of 2069 and 2074

1. What is the LCM of 2069 and 2074?

Answer: LCM of 2069 and 2074 is 4291106.

2. What are the Factors of 2069?

Answer: Factors of 2069 are 1, 2069. There are 2 integers that are factors of 2069. The greatest factor of 2069 is 2069.

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 2069 and 2074?

Answer:

Least Common Multiple of 2069 and 2074 = 4291106

Step 1: Find the prime factorization of 2069

2069 = 2069

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 = 4291106 = 2 x 17 x 61 x 2069

Step 4: Therefore, the least common multiple of 2069 and 2074 is 4291106.