Least Common Multiple of 2032 and 2036

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 2036 the smallest integer that is 1034288 that is divisible by both numbers.

Least Common Multiple (LCM) of 2032 and 2036 is 1034288.

LCM(2032,2036) = 1034288

LCM of 2032 and 2036

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

LCM of:
and

Least Common Multiple of 2032 and 2036

LCM of 2032 and 2036 is 1034288

Least common multiple can be found by multiplying the highest exponent prime factors of 2032 and 2036. First we will calculate the prime factors of 2032 and 2036.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 2032 and 2036.

LCM(2032,2036) = 24×1271×5091
LCM(2032,2036) = 1034288

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 2036

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

1, 2, 4, 509, 1018, 2036

Least Common Multiple of 2032 and 2036 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 2036, than apply into the LCM equation.

GCF(2032,2036) = 4
LCM(2032,2036) = ( 2032 × 2036) / 4
LCM(2032,2036) = 4137152 / 4
LCM(2032,2036) = 1034288

Properties of LCM 2032 and 2036

(i) The LCM of 2036 and 2032 is associative

LCM of 2032 and 2036 = LCM of 2036 and 2032

Related Least Common Multiples of 2032

Related Least Common Multiples of 2036

Frequently Asked Questions on LCM of 2032 and 2036

1. What is the LCM of 2032 and 2036?

Answer: LCM of 2032 and 2036 is 1034288.

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 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.

4. How to Find the LCM of 2032 and 2036?

Answer:

Least Common Multiple of 2032 and 2036 = 1034288

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 2036

2036 = 2 x 2 x 509

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

LCM = 1034288 = 2 x 2 x 2 x 2 x 127 x 509

Step 4: Therefore, the least common multiple of 2032 and 2036 is 1034288.