Least Common Multiple of 2040 and 2044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2040 and 2044 the smallest integer that is 1042440 that is divisible by both numbers.

Least Common Multiple (LCM) of 2040 and 2044 is 1042440.

LCM(2040,2044) = 1042440

LCM of 2040 and 2044

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

LCM of:
and

Least Common Multiple of 2040 and 2044

LCM of 2040 and 2044 is 1042440

Least common multiple can be found by multiplying the highest exponent prime factors of 2040 and 2044. First we will calculate the prime factors of 2040 and 2044.

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

Prime Factorization of 2044


2 2044
2 1022
7 511
73 73
1

Prime factors of 2044 are 2, 7,73. Prime factorization of 2044 in exponential form is:

2044 = 22×71×731

Now multiplying the highest exponent prime factors to calculate the LCM of 2040 and 2044.

LCM(2040,2044) = 23×31×51×71×171×731
LCM(2040,2044) = 1042440

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

Factors of 2044

List of positive integer factors of 2044 that divides 2044 without a remainder.

1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044

Least Common Multiple of 2040 and 2044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2040 and 2044, than apply into the LCM equation.

GCF(2040,2044) = 4
LCM(2040,2044) = ( 2040 × 2044) / 4
LCM(2040,2044) = 4169760 / 4
LCM(2040,2044) = 1042440

Properties of LCM 2040 and 2044

(i) The LCM of 2044 and 2040 is associative

LCM of 2040 and 2044 = LCM of 2044 and 2040

Related Least Common Multiples of 2040

Related Least Common Multiples of 2044

Frequently Asked Questions on LCM of 2040 and 2044

1. What is the LCM of 2040 and 2044?

Answer: LCM of 2040 and 2044 is 1042440.

2. 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.

3. What are the Factors of 2044?

Answer: Factors of 2044 are 1, 2, 4, 7, 14, 28, 73, 146, 292, 511, 1022, 2044. There are 12 integers that are factors of 2044. The greatest factor of 2044 is 2044.

4. How to Find the LCM of 2040 and 2044?

Answer:

Least Common Multiple of 2040 and 2044 = 1042440

Step 1: Find the prime factorization of 2040

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

Step 2: Find the prime factorization of 2044

2044 = 2 x 2 x 7 x 73

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

LCM = 1042440 = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 73

Step 4: Therefore, the least common multiple of 2040 and 2044 is 1042440.