Least Common Multiple of 2028 and 2033

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 2033 the smallest integer that is 4122924 that is divisible by both numbers.

Least Common Multiple (LCM) of 2028 and 2033 is 4122924.

LCM(2028,2033) = 4122924

LCM of 2028 and 2033

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

LCM of:
and

Least Common Multiple of 2028 and 2033

LCM of 2028 and 2033 is 4122924

Least common multiple can be found by multiplying the highest exponent prime factors of 2028 and 2033. First we will calculate the prime factors of 2028 and 2033.

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 2033


19 2033
107 107
1

Prime factors of 2033 are 19,107. Prime factorization of 2033 in exponential form is:

2033 = 191×1071

Now multiplying the highest exponent prime factors to calculate the LCM of 2028 and 2033.

LCM(2028,2033) = 22×31×132×191×1071
LCM(2028,2033) = 4122924

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 2033

List of positive integer factors of 2033 that divides 2033 without a remainder.

1, 19, 107, 2033

Least Common Multiple of 2028 and 2033 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 2033, than apply into the LCM equation.

GCF(2028,2033) = 1
LCM(2028,2033) = ( 2028 × 2033) / 1
LCM(2028,2033) = 4122924 / 1
LCM(2028,2033) = 4122924

Properties of LCM 2028 and 2033

(i) The LCM of 2033 and 2028 is associative

LCM of 2028 and 2033 = LCM of 2033 and 2028

Related Least Common Multiples of 2028

Related Least Common Multiples of 2033

Frequently Asked Questions on LCM of 2028 and 2033

1. What is the LCM of 2028 and 2033?

Answer: LCM of 2028 and 2033 is 4122924.

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 2033?

Answer: Factors of 2033 are 1, 19, 107, 2033. There are 4 integers that are factors of 2033. The greatest factor of 2033 is 2033.

4. How to Find the LCM of 2028 and 2033?

Answer:

Least Common Multiple of 2028 and 2033 = 4122924

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 2033

2033 = 19 x 107

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

LCM = 4122924 = 2 x 2 x 3 x 13 x 13 x 19 x 107

Step 4: Therefore, the least common multiple of 2028 and 2033 is 4122924.