Least Common Multiple of 2028 and 2029

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 2029 the smallest integer that is 4114812 that is divisible by both numbers.

Least Common Multiple (LCM) of 2028 and 2029 is 4114812.

LCM(2028,2029) = 4114812

LCM of 2028 and 2029

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

LCM of:
and

Least Common Multiple of 2028 and 2029

LCM of 2028 and 2029 is 4114812

Least common multiple can be found by multiplying the highest exponent prime factors of 2028 and 2029. First we will calculate the prime factors of 2028 and 2029.

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 2029


2029 2029
1

Prime factors of 2029 are 2029. Prime factorization of 2029 in exponential form is:

2029 = 20291

Now multiplying the highest exponent prime factors to calculate the LCM of 2028 and 2029.

LCM(2028,2029) = 22×31×132×20291
LCM(2028,2029) = 4114812

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 2029

List of positive integer factors of 2029 that divides 2029 without a remainder.

1, 2029

Least Common Multiple of 2028 and 2029 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 2029, than apply into the LCM equation.

GCF(2028,2029) = 1
LCM(2028,2029) = ( 2028 × 2029) / 1
LCM(2028,2029) = 4114812 / 1
LCM(2028,2029) = 4114812

Properties of LCM 2028 and 2029

(i) The LCM of 2029 and 2028 is associative

LCM of 2028 and 2029 = LCM of 2029 and 2028

Related Least Common Multiples of 2028

Related Least Common Multiples of 2029

Frequently Asked Questions on LCM of 2028 and 2029

1. What is the LCM of 2028 and 2029?

Answer: LCM of 2028 and 2029 is 4114812.

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 2029?

Answer: Factors of 2029 are 1, 2029. There are 2 integers that are factors of 2029. The greatest factor of 2029 is 2029.

4. How to Find the LCM of 2028 and 2029?

Answer:

Least Common Multiple of 2028 and 2029 = 4114812

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 2029

2029 = 2029

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

LCM = 4114812 = 2 x 2 x 3 x 13 x 13 x 2029

Step 4: Therefore, the least common multiple of 2028 and 2029 is 4114812.