Least Common Multiple of 2028 and 2032

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 2032 the smallest integer that is 1030224 that is divisible by both numbers.

Least Common Multiple (LCM) of 2028 and 2032 is 1030224.

LCM(2028,2032) = 1030224

LCM of 2028 and 2032

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

LCM of:
and

Least Common Multiple of 2028 and 2032

LCM of 2028 and 2032 is 1030224

Least common multiple can be found by multiplying the highest exponent prime factors of 2028 and 2032. First we will calculate the prime factors of 2028 and 2032.

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 2032


2 2032
2 1016
2 508
2 254
127 127
1

Prime factors of 2032 are 2,127. Prime factorization of 2032 in exponential form is:

2032 = 24×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 2028 and 2032.

LCM(2028,2032) = 24×31×132×1271
LCM(2028,2032) = 1030224

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 2032

List of positive integer factors of 2032 that divides 2032 without a remainder.

1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032

Least Common Multiple of 2028 and 2032 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 2032, than apply into the LCM equation.

GCF(2028,2032) = 4
LCM(2028,2032) = ( 2028 × 2032) / 4
LCM(2028,2032) = 4120896 / 4
LCM(2028,2032) = 1030224

Properties of LCM 2028 and 2032

(i) The LCM of 2032 and 2028 is associative

LCM of 2028 and 2032 = LCM of 2032 and 2028

Related Least Common Multiples of 2028

Related Least Common Multiples of 2032

Frequently Asked Questions on LCM of 2028 and 2032

1. What is the LCM of 2028 and 2032?

Answer: LCM of 2028 and 2032 is 1030224.

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 2032?

Answer: Factors of 2032 are 1, 2, 4, 8, 16, 127, 254, 508, 1016, 2032. There are 10 integers that are factors of 2032. The greatest factor of 2032 is 2032.

4. How to Find the LCM of 2028 and 2032?

Answer:

Least Common Multiple of 2028 and 2032 = 1030224

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 2032

2032 = 2 x 2 x 2 x 2 x 127

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

LCM = 1030224 = 2 x 2 x 2 x 2 x 3 x 13 x 13 x 127

Step 4: Therefore, the least common multiple of 2028 and 2032 is 1030224.