Least Common Multiple of 6028 and 6035

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 6035 the smallest integer that is 36378980 that is divisible by both numbers.

Least Common Multiple (LCM) of 6028 and 6035 is 36378980.

LCM(6028,6035) = 36378980

LCM of 6028 and 6035

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

LCM of:
and

Least Common Multiple of 6028 and 6035

LCM of 6028 and 6035 is 36378980

Least common multiple can be found by multiplying the highest exponent prime factors of 6028 and 6035. First we will calculate the prime factors of 6028 and 6035.

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 6035


5 6035
17 1207
71 71
1

Prime factors of 6035 are 5, 17,71. Prime factorization of 6035 in exponential form is:

6035 = 51×171×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6028 and 6035.

LCM(6028,6035) = 22×51×111×171×711×1371
LCM(6028,6035) = 36378980

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 6035

List of positive integer factors of 6035 that divides 6035 without a remainder.

1, 5, 17, 71, 85, 355, 1207, 6035

Least Common Multiple of 6028 and 6035 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 6035, than apply into the LCM equation.

GCF(6028,6035) = 1
LCM(6028,6035) = ( 6028 × 6035) / 1
LCM(6028,6035) = 36378980 / 1
LCM(6028,6035) = 36378980

Properties of LCM 6028 and 6035

(i) The LCM of 6035 and 6028 is associative

LCM of 6028 and 6035 = LCM of 6035 and 6028

Related Least Common Multiples of 6028

Related Least Common Multiples of 6035

Frequently Asked Questions on LCM of 6028 and 6035

1. What is the LCM of 6028 and 6035?

Answer: LCM of 6028 and 6035 is 36378980.

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 6035?

Answer: Factors of 6035 are 1, 5, 17, 71, 85, 355, 1207, 6035. There are 8 integers that are factors of 6035. The greatest factor of 6035 is 6035.

4. How to Find the LCM of 6028 and 6035?

Answer:

Least Common Multiple of 6028 and 6035 = 36378980

Step 1: Find the prime factorization of 6028

6028 = 2 x 2 x 11 x 137

Step 2: Find the prime factorization of 6035

6035 = 5 x 17 x 71

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

LCM = 36378980 = 2 x 2 x 5 x 11 x 17 x 71 x 137

Step 4: Therefore, the least common multiple of 6028 and 6035 is 36378980.