Least Common Multiple of 2037 and 2043

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 2043 the smallest integer that is 1387197 that is divisible by both numbers.

Least Common Multiple (LCM) of 2037 and 2043 is 1387197.

LCM(2037,2043) = 1387197

LCM of 2037 and 2043

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

LCM of:
and

Least Common Multiple of 2037 and 2043

LCM of 2037 and 2043 is 1387197

Least common multiple can be found by multiplying the highest exponent prime factors of 2037 and 2043. First we will calculate the prime factors of 2037 and 2043.

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 2043


3 2043
3 681
227 227
1

Prime factors of 2043 are 3,227. Prime factorization of 2043 in exponential form is:

2043 = 32×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 2037 and 2043.

LCM(2037,2043) = 32×71×971×2271
LCM(2037,2043) = 1387197

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 2043

List of positive integer factors of 2043 that divides 2043 without a remainder.

1, 3, 9, 227, 681, 2043

Least Common Multiple of 2037 and 2043 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 2043, than apply into the LCM equation.

GCF(2037,2043) = 3
LCM(2037,2043) = ( 2037 × 2043) / 3
LCM(2037,2043) = 4161591 / 3
LCM(2037,2043) = 1387197

Properties of LCM 2037 and 2043

(i) The LCM of 2043 and 2037 is associative

LCM of 2037 and 2043 = LCM of 2043 and 2037

Related Least Common Multiples of 2037

Related Least Common Multiples of 2043

Frequently Asked Questions on LCM of 2037 and 2043

1. What is the LCM of 2037 and 2043?

Answer: LCM of 2037 and 2043 is 1387197.

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 2043?

Answer: Factors of 2043 are 1, 3, 9, 227, 681, 2043. There are 6 integers that are factors of 2043. The greatest factor of 2043 is 2043.

4. How to Find the LCM of 2037 and 2043?

Answer:

Least Common Multiple of 2037 and 2043 = 1387197

Step 1: Find the prime factorization of 2037

2037 = 3 x 7 x 97

Step 2: Find the prime factorization of 2043

2043 = 3 x 3 x 227

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

LCM = 1387197 = 3 x 3 x 7 x 97 x 227

Step 4: Therefore, the least common multiple of 2037 and 2043 is 1387197.