Least Common Multiple of 6028 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 6028 and 6032 the smallest integer that is 9090224 that is divisible by both numbers.

Least Common Multiple (LCM) of 6028 and 6032 is 9090224.

LCM(6028,6032) = 9090224

LCM of 6028 and 6032

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

LCM of:
and

Least Common Multiple of 6028 and 6032

LCM of 6028 and 6032 is 9090224

Least common multiple can be found by multiplying the highest exponent prime factors of 6028 and 6032. First we will calculate the prime factors of 6028 and 6032.

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 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 6028 and 6032.

LCM(6028,6032) = 24×111×131×291×1371
LCM(6028,6032) = 9090224

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 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 6028 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 6028 and 6032, than apply into the LCM equation.

GCF(6028,6032) = 4
LCM(6028,6032) = ( 6028 × 6032) / 4
LCM(6028,6032) = 36360896 / 4
LCM(6028,6032) = 9090224

Properties of LCM 6028 and 6032

(i) The LCM of 6032 and 6028 is associative

LCM of 6028 and 6032 = LCM of 6032 and 6028

Related Least Common Multiples of 6028

Related Least Common Multiples of 6032

Frequently Asked Questions on LCM of 6028 and 6032

1. What is the LCM of 6028 and 6032?

Answer: LCM of 6028 and 6032 is 9090224.

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 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 6028 and 6032?

Answer:

Least Common Multiple of 6028 and 6032 = 9090224

Step 1: Find the prime factorization of 6028

6028 = 2 x 2 x 11 x 137

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 = 9090224 = 2 x 2 x 2 x 2 x 11 x 13 x 29 x 137

Step 4: Therefore, the least common multiple of 6028 and 6032 is 9090224.