Least Common Multiple of 2069 and 2073

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 2073 the smallest integer that is 4289037 that is divisible by both numbers.

Least Common Multiple (LCM) of 2069 and 2073 is 4289037.

LCM(2069,2073) = 4289037

LCM of 2069 and 2073

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

LCM of:
and

Least Common Multiple of 2069 and 2073

LCM of 2069 and 2073 is 4289037

Least common multiple can be found by multiplying the highest exponent prime factors of 2069 and 2073. First we will calculate the prime factors of 2069 and 2073.

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 2073


3 2073
691 691
1

Prime factors of 2073 are 3,691. Prime factorization of 2073 in exponential form is:

2073 = 31×6911

Now multiplying the highest exponent prime factors to calculate the LCM of 2069 and 2073.

LCM(2069,2073) = 31×6911×20691
LCM(2069,2073) = 4289037

Factors of 2069

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

1, 2069

Factors of 2073

List of positive integer factors of 2073 that divides 2073 without a remainder.

1, 3, 691, 2073

Least Common Multiple of 2069 and 2073 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 2073, than apply into the LCM equation.

GCF(2069,2073) = 1
LCM(2069,2073) = ( 2069 × 2073) / 1
LCM(2069,2073) = 4289037 / 1
LCM(2069,2073) = 4289037

Properties of LCM 2069 and 2073

(i) The LCM of 2073 and 2069 is associative

LCM of 2069 and 2073 = LCM of 2073 and 2069

Related Least Common Multiples of 2069

Related Least Common Multiples of 2073

Frequently Asked Questions on LCM of 2069 and 2073

1. What is the LCM of 2069 and 2073?

Answer: LCM of 2069 and 2073 is 4289037.

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 2073?

Answer: Factors of 2073 are 1, 3, 691, 2073. There are 4 integers that are factors of 2073. The greatest factor of 2073 is 2073.

4. How to Find the LCM of 2069 and 2073?

Answer:

Least Common Multiple of 2069 and 2073 = 4289037

Step 1: Find the prime factorization of 2069

2069 = 2069

Step 2: Find the prime factorization of 2073

2073 = 3 x 691

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

LCM = 4289037 = 3 x 691 x 2069

Step 4: Therefore, the least common multiple of 2069 and 2073 is 4289037.