Least Common Multiple of 6028 and 6036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6028 and 6036 the smallest integer that is 9096252 that is divisible by both numbers.

Least Common Multiple (LCM) of 6028 and 6036 is 9096252.

LCM(6028,6036) = 9096252

LCM of 6028 and 6036

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

LCM of:
and

Least Common Multiple of 6028 and 6036

LCM of 6028 and 6036 is 9096252

Least common multiple can be found by multiplying the highest exponent prime factors of 6028 and 6036. First we will calculate the prime factors of 6028 and 6036.

Prime Factorization of 6028


2 6028
2 3014
11 1507
137 137
1

Prime factors of 6028 are 2, 11,137. Prime factorization of 6028 in exponential form is:

6028 = 22×111×1371

Prime Factorization of 6036


2 6036
2 3018
3 1509
503 503
1

Prime factors of 6036 are 2, 3,503. Prime factorization of 6036 in exponential form is:

6036 = 22×31×5031

Now multiplying the highest exponent prime factors to calculate the LCM of 6028 and 6036.

LCM(6028,6036) = 22×31×111×1371×5031
LCM(6028,6036) = 9096252

Factors of 6028

List of positive integer factors of 6028 that divides 6028 without a remainder.

1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028

Factors of 6036

List of positive integer factors of 6036 that divides 6036 without a remainder.

1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036

Least Common Multiple of 6028 and 6036 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6028 and 6036, than apply into the LCM equation.

GCF(6028,6036) = 4
LCM(6028,6036) = ( 6028 × 6036) / 4
LCM(6028,6036) = 36385008 / 4
LCM(6028,6036) = 9096252

Properties of LCM 6028 and 6036

(i) The LCM of 6036 and 6028 is associative

LCM of 6028 and 6036 = LCM of 6036 and 6028

Related Least Common Multiples of 6028

Related Least Common Multiples of 6036

Frequently Asked Questions on LCM of 6028 and 6036

1. What is the LCM of 6028 and 6036?

Answer: LCM of 6028 and 6036 is 9096252.

2. What are the Factors of 6028?

Answer: Factors of 6028 are 1, 2, 4, 11, 22, 44, 137, 274, 548, 1507, 3014, 6028. There are 12 integers that are factors of 6028. The greatest factor of 6028 is 6028.

3. What are the Factors of 6036?

Answer: Factors of 6036 are 1, 2, 3, 4, 6, 12, 503, 1006, 1509, 2012, 3018, 6036. There are 12 integers that are factors of 6036. The greatest factor of 6036 is 6036.

4. How to Find the LCM of 6028 and 6036?

Answer:

Least Common Multiple of 6028 and 6036 = 9096252

Step 1: Find the prime factorization of 6028

6028 = 2 x 2 x 11 x 137

Step 2: Find the prime factorization of 6036

6036 = 2 x 2 x 3 x 503

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

LCM = 9096252 = 2 x 2 x 3 x 11 x 137 x 503

Step 4: Therefore, the least common multiple of 6028 and 6036 is 9096252.