Least Common Multiple of 2040 and 2045

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 2045 the smallest integer that is 834360 that is divisible by both numbers.

Least Common Multiple (LCM) of 2040 and 2045 is 834360.

LCM(2040,2045) = 834360

LCM of 2040 and 2045

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

LCM of:
and

Least Common Multiple of 2040 and 2045

LCM of 2040 and 2045 is 834360

Least common multiple can be found by multiplying the highest exponent prime factors of 2040 and 2045. First we will calculate the prime factors of 2040 and 2045.

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 2045


5 2045
409 409
1

Prime factors of 2045 are 5,409. Prime factorization of 2045 in exponential form is:

2045 = 51×4091

Now multiplying the highest exponent prime factors to calculate the LCM of 2040 and 2045.

LCM(2040,2045) = 23×31×51×171×4091
LCM(2040,2045) = 834360

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 2045

List of positive integer factors of 2045 that divides 2045 without a remainder.

1, 5, 409, 2045

Least Common Multiple of 2040 and 2045 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 2045, than apply into the LCM equation.

GCF(2040,2045) = 5
LCM(2040,2045) = ( 2040 × 2045) / 5
LCM(2040,2045) = 4171800 / 5
LCM(2040,2045) = 834360

Properties of LCM 2040 and 2045

(i) The LCM of 2045 and 2040 is associative

LCM of 2040 and 2045 = LCM of 2045 and 2040

Related Least Common Multiples of 2040

Related Least Common Multiples of 2045

Frequently Asked Questions on LCM of 2040 and 2045

1. What is the LCM of 2040 and 2045?

Answer: LCM of 2040 and 2045 is 834360.

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 2045?

Answer: Factors of 2045 are 1, 5, 409, 2045. There are 4 integers that are factors of 2045. The greatest factor of 2045 is 2045.

4. How to Find the LCM of 2040 and 2045?

Answer:

Least Common Multiple of 2040 and 2045 = 834360

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 2045

2045 = 5 x 409

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

LCM = 834360 = 2 x 2 x 2 x 3 x 5 x 17 x 409

Step 4: Therefore, the least common multiple of 2040 and 2045 is 834360.