Least Common Multiple of 2028 and 2035

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 2035 the smallest integer that is 4126980 that is divisible by both numbers.

Least Common Multiple (LCM) of 2028 and 2035 is 4126980.

LCM(2028,2035) = 4126980

LCM of 2028 and 2035

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

LCM of:
and

Least Common Multiple of 2028 and 2035

LCM of 2028 and 2035 is 4126980

Least common multiple can be found by multiplying the highest exponent prime factors of 2028 and 2035. First we will calculate the prime factors of 2028 and 2035.

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 2035


5 2035
11 407
37 37
1

Prime factors of 2035 are 5, 11,37. Prime factorization of 2035 in exponential form is:

2035 = 51×111×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2028 and 2035.

LCM(2028,2035) = 22×31×51×111×132×371
LCM(2028,2035) = 4126980

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 2035

List of positive integer factors of 2035 that divides 2035 without a remainder.

1, 5, 11, 37, 55, 185, 407, 2035

Least Common Multiple of 2028 and 2035 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 2035, than apply into the LCM equation.

GCF(2028,2035) = 1
LCM(2028,2035) = ( 2028 × 2035) / 1
LCM(2028,2035) = 4126980 / 1
LCM(2028,2035) = 4126980

Properties of LCM 2028 and 2035

(i) The LCM of 2035 and 2028 is associative

LCM of 2028 and 2035 = LCM of 2035 and 2028

Related Least Common Multiples of 2028

Related Least Common Multiples of 2035

Frequently Asked Questions on LCM of 2028 and 2035

1. What is the LCM of 2028 and 2035?

Answer: LCM of 2028 and 2035 is 4126980.

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 2035?

Answer: Factors of 2035 are 1, 5, 11, 37, 55, 185, 407, 2035. There are 8 integers that are factors of 2035. The greatest factor of 2035 is 2035.

4. How to Find the LCM of 2028 and 2035?

Answer:

Least Common Multiple of 2028 and 2035 = 4126980

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 2035

2035 = 5 x 11 x 37

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

LCM = 4126980 = 2 x 2 x 3 x 5 x 11 x 13 x 13 x 37

Step 4: Therefore, the least common multiple of 2028 and 2035 is 4126980.