Least Common Multiple of 6027 and 6032

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 6032 the smallest integer that is 36354864 that is divisible by both numbers.

Least Common Multiple (LCM) of 6027 and 6032 is 36354864.

LCM(6027,6032) = 36354864

LCM of 6027 and 6032

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

LCM of:
and

Least Common Multiple of 6027 and 6032

LCM of 6027 and 6032 is 36354864

Least common multiple can be found by multiplying the highest exponent prime factors of 6027 and 6032. First we will calculate the prime factors of 6027 and 6032.

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 6032


2 6032
2 3016
2 1508
2 754
13 377
29 29
1

Prime factors of 6032 are 2, 13,29. Prime factorization of 6032 in exponential form is:

6032 = 24×131×291

Now multiplying the highest exponent prime factors to calculate the LCM of 6027 and 6032.

LCM(6027,6032) = 24×31×72×131×291×411
LCM(6027,6032) = 36354864

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 6032

List of positive integer factors of 6032 that divides 6032 without a remainder.

1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032

Least Common Multiple of 6027 and 6032 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 6032, than apply into the LCM equation.

GCF(6027,6032) = 1
LCM(6027,6032) = ( 6027 × 6032) / 1
LCM(6027,6032) = 36354864 / 1
LCM(6027,6032) = 36354864

Properties of LCM 6027 and 6032

(i) The LCM of 6032 and 6027 is associative

LCM of 6027 and 6032 = LCM of 6032 and 6027

Related Least Common Multiples of 6027

Related Least Common Multiples of 6032

Frequently Asked Questions on LCM of 6027 and 6032

1. What is the LCM of 6027 and 6032?

Answer: LCM of 6027 and 6032 is 36354864.

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 6032?

Answer: Factors of 6032 are 1, 2, 4, 8, 13, 16, 26, 29, 52, 58, 104, 116, 208, 232, 377, 464, 754, 1508, 3016, 6032. There are 20 integers that are factors of 6032. The greatest factor of 6032 is 6032.

4. How to Find the LCM of 6027 and 6032?

Answer:

Least Common Multiple of 6027 and 6032 = 36354864

Step 1: Find the prime factorization of 6027

6027 = 3 x 7 x 7 x 41

Step 2: Find the prime factorization of 6032

6032 = 2 x 2 x 2 x 2 x 13 x 29

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

LCM = 36354864 = 2 x 2 x 2 x 2 x 3 x 7 x 7 x 13 x 29 x 41

Step 4: Therefore, the least common multiple of 6027 and 6032 is 36354864.