Least Common Multiple of 2036 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 2036 and 2040 the smallest integer that is 1038360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2036 and 2040 is 1038360.

LCM(2036,2040) = 1038360

LCM of 2036 and 2040

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

LCM of:
and

Least Common Multiple of 2036 and 2040

LCM of 2036 and 2040 is 1038360

Least common multiple can be found by multiplying the highest exponent prime factors of 2036 and 2040. First we will calculate the prime factors of 2036 and 2040.

Prime Factorization of 2036


2 2036
2 1018
509 509
1

Prime factors of 2036 are 2,509. Prime factorization of 2036 in exponential form is:

2036 = 22×5091

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 2036 and 2040.

LCM(2036,2040) = 23×31×51×171×5091
LCM(2036,2040) = 1038360

Factors of 2036

List of positive integer factors of 2036 that divides 2036 without a remainder.

1, 2, 4, 509, 1018, 2036

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 2036 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 2036 and 2040, than apply into the LCM equation.

GCF(2036,2040) = 4
LCM(2036,2040) = ( 2036 × 2040) / 4
LCM(2036,2040) = 4153440 / 4
LCM(2036,2040) = 1038360

Properties of LCM 2036 and 2040

(i) The LCM of 2040 and 2036 is associative

LCM of 2036 and 2040 = LCM of 2040 and 2036

Related Least Common Multiples of 2036

Related Least Common Multiples of 2040

Frequently Asked Questions on LCM of 2036 and 2040

1. What is the LCM of 2036 and 2040?

Answer: LCM of 2036 and 2040 is 1038360.

2. What are the Factors of 2036?

Answer: Factors of 2036 are 1, 2, 4, 509, 1018, 2036. There are 6 integers that are factors of 2036. The greatest factor of 2036 is 2036.

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 2036 and 2040?

Answer:

Least Common Multiple of 2036 and 2040 = 1038360

Step 1: Find the prime factorization of 2036

2036 = 2 x 2 x 509

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 = 1038360 = 2 x 2 x 2 x 3 x 5 x 17 x 509

Step 4: Therefore, the least common multiple of 2036 and 2040 is 1038360.