Least Common Multiple of 3028 and 3036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3028 and 3036 the smallest integer that is 2298252 that is divisible by both numbers.

Least Common Multiple (LCM) of 3028 and 3036 is 2298252.

LCM(3028,3036) = 2298252

LCM of 3028 and 3036

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

LCM of:
and

Least Common Multiple of 3028 and 3036

LCM of 3028 and 3036 is 2298252

Least common multiple can be found by multiplying the highest exponent prime factors of 3028 and 3036. First we will calculate the prime factors of 3028 and 3036.

Prime Factorization of 3028


2 3028
2 1514
757 757
1

Prime factors of 3028 are 2,757. Prime factorization of 3028 in exponential form is:

3028 = 22×7571

Prime Factorization of 3036


2 3036
2 1518
3 759
11 253
23 23
1

Prime factors of 3036 are 2, 3, 11,23. Prime factorization of 3036 in exponential form is:

3036 = 22×31×111×231

Now multiplying the highest exponent prime factors to calculate the LCM of 3028 and 3036.

LCM(3028,3036) = 22×31×111×231×7571
LCM(3028,3036) = 2298252

Factors of 3028

List of positive integer factors of 3028 that divides 3028 without a remainder.

1, 2, 4, 757, 1514, 3028

Factors of 3036

List of positive integer factors of 3036 that divides 3036 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036

Least Common Multiple of 3028 and 3036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3028 and 3036, than apply into the LCM equation.

GCF(3028,3036) = 4
LCM(3028,3036) = ( 3028 × 3036) / 4
LCM(3028,3036) = 9193008 / 4
LCM(3028,3036) = 2298252

Properties of LCM 3028 and 3036

(i) The LCM of 3036 and 3028 is associative

LCM of 3028 and 3036 = LCM of 3036 and 3028

Related Least Common Multiples of 3028

Related Least Common Multiples of 3036

Frequently Asked Questions on LCM of 3028 and 3036

1. What is the LCM of 3028 and 3036?

Answer: LCM of 3028 and 3036 is 2298252.

2. What are the Factors of 3028?

Answer: Factors of 3028 are 1, 2, 4, 757, 1514, 3028. There are 6 integers that are factors of 3028. The greatest factor of 3028 is 3028.

3. What are the Factors of 3036?

Answer: Factors of 3036 are 1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 132, 138, 253, 276, 506, 759, 1012, 1518, 3036. There are 24 integers that are factors of 3036. The greatest factor of 3036 is 3036.

4. How to Find the LCM of 3028 and 3036?

Answer:

Least Common Multiple of 3028 and 3036 = 2298252

Step 1: Find the prime factorization of 3028

3028 = 2 x 2 x 757

Step 2: Find the prime factorization of 3036

3036 = 2 x 2 x 3 x 11 x 23

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

LCM = 2298252 = 2 x 2 x 3 x 11 x 23 x 757

Step 4: Therefore, the least common multiple of 3028 and 3036 is 2298252.