Least Common Multiple of 2032 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 2032 and 2040 the smallest integer that is 518160 that is divisible by both numbers.

Least Common Multiple (LCM) of 2032 and 2040 is 518160.

LCM(2032,2040) = 518160

LCM of 2032 and 2040

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

LCM of:
and

Least Common Multiple of 2032 and 2040

LCM of 2032 and 2040 is 518160

Least common multiple can be found by multiplying the highest exponent prime factors of 2032 and 2040. First we will calculate the prime factors of 2032 and 2040.

Prime Factorization of 2032


2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 2032 are 2,127. Prime factorization of 2032 in exponential form is:

2032 = 24×1271

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 2032 and 2040.

LCM(2032,2040) = 24×31×51×171×1271
LCM(2032,2040) = 518160

Factors of 2032

List of positive integer factors of 2032 that divides 2032 without a remainder.

1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032

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 2032 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 2032 and 2040, than apply into the LCM equation.

GCF(2032,2040) = 8
LCM(2032,2040) = ( 2032 × 2040) / 8
LCM(2032,2040) = 4145280 / 8
LCM(2032,2040) = 518160

Properties of LCM 2032 and 2040

(i) The LCM of 2040 and 2032 is associative

LCM of 2032 and 2040 = LCM of 2040 and 2032

Related Least Common Multiples of 2032

Related Least Common Multiples of 2040

Frequently Asked Questions on LCM of 2032 and 2040

1. What is the LCM of 2032 and 2040?

Answer: LCM of 2032 and 2040 is 518160.

2. What are the Factors of 2032?

Answer: Factors of 2032 are 1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032. There are 10 integers that are factors of 2032. The greatest factor of 2032 is 2032.

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 2032 and 2040?

Answer:

Least Common Multiple of 2032 and 2040 = 518160

Step 1: Find the prime factorization of 2032

2032 = 2 x 2 x 2 x 2 x 127

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 = 518160 = 2 x 2 x 2 x 2 x 3 x 5 x 17 x 127

Step 4: Therefore, the least common multiple of 2032 and 2040 is 518160.