Least Common Multiple of 2037 and 2039

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2037 and 2039 the smallest integer that is 4153443 that is divisible by both numbers.

Least Common Multiple (LCM) of 2037 and 2039 is 4153443.

LCM(2037,2039) = 4153443

LCM of 2037 and 2039

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

LCM of:
and

Least Common Multiple of 2037 and 2039

LCM of 2037 and 2039 is 4153443

Least common multiple can be found by multiplying the highest exponent prime factors of 2037 and 2039. First we will calculate the prime factors of 2037 and 2039.

Prime Factorization of 2037


3 2037
7 679
97 97
1

Prime factors of 2037 are 3, 7,97. Prime factorization of 2037 in exponential form is:

2037 = 31×71×971

Prime Factorization of 2039


2039 2039
1

Prime factors of 2039 are 2039. Prime factorization of 2039 in exponential form is:

2039 = 20391

Now multiplying the highest exponent prime factors to calculate the LCM of 2037 and 2039.

LCM(2037,2039) = 31×71×971×20391
LCM(2037,2039) = 4153443

Factors of 2037

List of positive integer factors of 2037 that divides 2037 without a remainder.

1, 3, 7, 21, 97, 291, 679, 2037

Factors of 2039

List of positive integer factors of 2039 that divides 2039 without a remainder.

1, 2039

Least Common Multiple of 2037 and 2039 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2037 and 2039, than apply into the LCM equation.

GCF(2037,2039) = 1
LCM(2037,2039) = ( 2037 × 2039) / 1
LCM(2037,2039) = 4153443 / 1
LCM(2037,2039) = 4153443

Properties of LCM 2037 and 2039

(i) The LCM of 2039 and 2037 is associative

LCM of 2037 and 2039 = LCM of 2039 and 2037

Related Least Common Multiples of 2037

Related Least Common Multiples of 2039

Frequently Asked Questions on LCM of 2037 and 2039

1. What is the LCM of 2037 and 2039?

Answer: LCM of 2037 and 2039 is 4153443.

2. What are the Factors of 2037?

Answer: Factors of 2037 are 1, 3, 7, 21, 97, 291, 679, 2037. There are 8 integers that are factors of 2037. The greatest factor of 2037 is 2037.

3. What are the Factors of 2039?

Answer: Factors of 2039 are 1, 2039. There are 2 integers that are factors of 2039. The greatest factor of 2039 is 2039.

4. How to Find the LCM of 2037 and 2039?

Answer:

Least Common Multiple of 2037 and 2039 = 4153443

Step 1: Find the prime factorization of 2037

2037 = 3 x 7 x 97

Step 2: Find the prime factorization of 2039

2039 = 2039

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

LCM = 4153443 = 3 x 7 x 97 x 2039

Step 4: Therefore, the least common multiple of 2037 and 2039 is 4153443.