Least Common Multiple of 2028 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 2028 and 2036 the smallest integer that is 1032252 that is divisible by both numbers.

Least Common Multiple (LCM) of 2028 and 2036 is 1032252.

LCM(2028,2036) = 1032252

LCM of 2028 and 2036

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

LCM of:
and

Least Common Multiple of 2028 and 2036

LCM of 2028 and 2036 is 1032252

Least common multiple can be found by multiplying the highest exponent prime factors of 2028 and 2036. First we will calculate the prime factors of 2028 and 2036.

Prime Factorization of 2028


2 2028
2 1014
3 507
13 169
13 13
1

Prime factors of 2028 are 2, 3,13. Prime factorization of 2028 in exponential form is:

2028 = 22×31×132

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 2028 and 2036.

LCM(2028,2036) = 22×31×132×5091
LCM(2028,2036) = 1032252

Factors of 2028

List of positive integer factors of 2028 that divides 2028 without a remainder.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028

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 2028 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 2028 and 2036, than apply into the LCM equation.

GCF(2028,2036) = 4
LCM(2028,2036) = ( 2028 × 2036) / 4
LCM(2028,2036) = 4129008 / 4
LCM(2028,2036) = 1032252

Properties of LCM 2028 and 2036

(i) The LCM of 2036 and 2028 is associative

LCM of 2028 and 2036 = LCM of 2036 and 2028

Related Least Common Multiples of 2028

Related Least Common Multiples of 2036

Frequently Asked Questions on LCM of 2028 and 2036

1. What is the LCM of 2028 and 2036?

Answer: LCM of 2028 and 2036 is 1032252.

2. What are the Factors of 2028?

Answer: Factors of 2028 are 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156, 169, 338, 507, 676, 1014, 2028. There are 18 integers that are factors of 2028. The greatest factor of 2028 is 2028.

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 2028 and 2036?

Answer:

Least Common Multiple of 2028 and 2036 = 1032252

Step 1: Find the prime factorization of 2028

2028 = 2 x 2 x 3 x 13 x 13

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 = 1032252 = 2 x 2 x 3 x 13 x 13 x 509

Step 4: Therefore, the least common multiple of 2028 and 2036 is 1032252.