Least Common Multiple of 6027 and 6028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6027 and 6028 the smallest integer that is 36330756 that is divisible by both numbers.

Least Common Multiple (LCM) of 6027 and 6028 is 36330756.

LCM(6027,6028) = 36330756

LCM of 6027 and 6028

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

LCM of:
and

Least Common Multiple of 6027 and 6028

LCM of 6027 and 6028 is 36330756

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6028. First we will calculate the prime factors of 6027 and 6028.

Prime Factorization of 6027


3 6027
7 2009
7 287
41 41
1

Prime factors of 6027 are 3, 7,41. Prime factorization of 6027 in exponential form is:

6027 = 31×72×411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6028.

LCM(6027,6028) = 22×31×72×111×411×1371
LCM(6027,6028) = 36330756

Factors of 6027

List of positive integer factors of 6027 that divides 6027 without a remainder.

1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027

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

Least Common Multiple of 6027 and 6028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6027 and 6028, than apply into the LCM equation.

GCF(6027,6028) = 1
LCM(6027,6028) = ( 6027 × 6028) / 1
LCM(6027,6028) = 36330756 / 1
LCM(6027,6028) = 36330756

Properties of LCM 6027 and 6028

(i) The LCM of 6028 and 6027 is associative

LCM of 6027 and 6028 = LCM of 6028 and 6027

Related Least Common Multiples of 6027

Related Least Common Multiples of 6028

Frequently Asked Questions on LCM of 6027 and 6028

1. What is the LCM of 6027 and 6028?

Answer: LCM of 6027 and 6028 is 36330756.

2. What are the Factors of 6027?

Answer: Factors of 6027 are 1, 3, 7, 21, 41, 49, 123, 147, 287, 861, 2009, 6027. There are 12 integers that are factors of 6027. The greatest factor of 6027 is 6027.

3. 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.

4. How to Find the LCM of 6027 and 6028?

Answer:

Least Common Multiple of 6027 and 6028 = 36330756

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6028

6028 = 2 x 2 x 11 x 137

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

LCM = 36330756 = 2 x 2 x 3 x 7 x 7 x 11 x 41 x 137

Step 4: Therefore, the least common multiple of 6027 and 6028 is 36330756.