Least Common Multiple of 2028 and 2034

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 2034 the smallest integer that is 687492 that is divisible by both numbers.

Least Common Multiple (LCM) of 2028 and 2034 is 687492.

LCM(2028,2034) = 687492

LCM of 2028 and 2034

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

LCM of:
and

Least Common Multiple of 2028 and 2034

LCM of 2028 and 2034 is 687492

Least common multiple can be found by multiplying the highest exponent prime factors of 2028 and 2034. First we will calculate the prime factors of 2028 and 2034.

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 2034


2 2034
3 1017
3 339
113 113
1

Prime factors of 2034 are 2, 3,113. Prime factorization of 2034 in exponential form is:

2034 = 21×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 2028 and 2034.

LCM(2028,2034) = 22×32×132×1131
LCM(2028,2034) = 687492

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 2034

List of positive integer factors of 2034 that divides 2034 without a remainder.

1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034

Least Common Multiple of 2028 and 2034 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 2034, than apply into the LCM equation.

GCF(2028,2034) = 6
LCM(2028,2034) = ( 2028 × 2034) / 6
LCM(2028,2034) = 4124952 / 6
LCM(2028,2034) = 687492

Properties of LCM 2028 and 2034

(i) The LCM of 2034 and 2028 is associative

LCM of 2028 and 2034 = LCM of 2034 and 2028

Related Least Common Multiples of 2028

Related Least Common Multiples of 2034

Frequently Asked Questions on LCM of 2028 and 2034

1. What is the LCM of 2028 and 2034?

Answer: LCM of 2028 and 2034 is 687492.

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 2034?

Answer: Factors of 2034 are 1, 2, 3, 6, 9, 18, 113, 226, 339, 678, 1017, 2034. There are 12 integers that are factors of 2034. The greatest factor of 2034 is 2034.

4. How to Find the LCM of 2028 and 2034?

Answer:

Least Common Multiple of 2028 and 2034 = 687492

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 2034

2034 = 2 x 3 x 3 x 113

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

LCM = 687492 = 2 x 2 x 3 x 3 x 13 x 13 x 113

Step 4: Therefore, the least common multiple of 2028 and 2034 is 687492.