Least Common Multiple of 2037 and 2040

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 2040 the smallest integer that is 1385160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2037 and 2040 is 1385160.

LCM(2037,2040) = 1385160

LCM of 2037 and 2040

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

LCM of:
and

Least Common Multiple of 2037 and 2040

LCM of 2037 and 2040 is 1385160

Least common multiple can be found by multiplying the highest exponent prime factors of 2037 and 2040. First we will calculate the prime factors of 2037 and 2040.

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 2040


2 2040
2 1020
2 510
3 255
5 85
17 17
1

Prime factors of 2040 are 2, 3, 5,17. Prime factorization of 2040 in exponential form is:

2040 = 23×31×51×171

Now multiplying the highest exponent prime factors to calculate the LCM of 2037 and 2040.

LCM(2037,2040) = 23×31×51×71×171×971
LCM(2037,2040) = 1385160

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 2040

List of positive integer factors of 2040 that divides 2040 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040

Least Common Multiple of 2037 and 2040 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 2040, than apply into the LCM equation.

GCF(2037,2040) = 3
LCM(2037,2040) = ( 2037 × 2040) / 3
LCM(2037,2040) = 4155480 / 3
LCM(2037,2040) = 1385160

Properties of LCM 2037 and 2040

(i) The LCM of 2040 and 2037 is associative

LCM of 2037 and 2040 = LCM of 2040 and 2037

Related Least Common Multiples of 2037

Related Least Common Multiples of 2040

Frequently Asked Questions on LCM of 2037 and 2040

1. What is the LCM of 2037 and 2040?

Answer: LCM of 2037 and 2040 is 1385160.

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 2040?

Answer: Factors of 2040 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 30, 34, 40, 51, 60, 68, 85, 102, 120, 136, 170, 204, 255, 340, 408, 510, 680, 1020, 2040. There are 32 integers that are factors of 2040. The greatest factor of 2040 is 2040.

4. How to Find the LCM of 2037 and 2040?

Answer:

Least Common Multiple of 2037 and 2040 = 1385160

Step 1: Find the prime factorization of 2037

2037 = 3 x 7 x 97

Step 2: Find the prime factorization of 2040

2040 = 2 x 2 x 2 x 3 x 5 x 17

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

LCM = 1385160 = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 97

Step 4: Therefore, the least common multiple of 2037 and 2040 is 1385160.