Least Common Multiple of 6027 and 6030

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 6030 the smallest integer that is 12114270 that is divisible by both numbers.

Least Common Multiple (LCM) of 6027 and 6030 is 12114270.

LCM(6027,6030) = 12114270

LCM of 6027 and 6030

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

LCM of:
and

Least Common Multiple of 6027 and 6030

LCM of 6027 and 6030 is 12114270

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6030. First we will calculate the prime factors of 6027 and 6030.

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 6030


2 6030
3 3015
3 1005
5 335
67 67
1

Prime factors of 6030 are 2, 3, 5,67. Prime factorization of 6030 in exponential form is:

6030 = 21×32×51×671

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6030.

LCM(6027,6030) = 21×32×51×72×411×671
LCM(6027,6030) = 12114270

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 6030

List of positive integer factors of 6030 that divides 6030 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030

Least Common Multiple of 6027 and 6030 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 6030, than apply into the LCM equation.

GCF(6027,6030) = 3
LCM(6027,6030) = ( 6027 × 6030) / 3
LCM(6027,6030) = 36342810 / 3
LCM(6027,6030) = 12114270

Properties of LCM 6027 and 6030

(i) The LCM of 6030 and 6027 is associative

LCM of 6027 and 6030 = LCM of 6030 and 6027

Related Least Common Multiples of 6027

Related Least Common Multiples of 6030

Frequently Asked Questions on LCM of 6027 and 6030

1. What is the LCM of 6027 and 6030?

Answer: LCM of 6027 and 6030 is 12114270.

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 6030?

Answer: Factors of 6030 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 67, 90, 134, 201, 335, 402, 603, 670, 1005, 1206, 2010, 3015, 6030. There are 24 integers that are factors of 6030. The greatest factor of 6030 is 6030.

4. How to Find the LCM of 6027 and 6030?

Answer:

Least Common Multiple of 6027 and 6030 = 12114270

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6030

6030 = 2 x 3 x 3 x 5 x 67

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

LCM = 12114270 = 2 x 3 x 3 x 5 x 7 x 7 x 41 x 67

Step 4: Therefore, the least common multiple of 6027 and 6030 is 12114270.