Least Common Multiple of 6022 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 6022 and 6028 the smallest integer that is 18150308 that is divisible by both numbers.

Least Common Multiple (LCM) of 6022 and 6028 is 18150308.

LCM(6022,6028) = 18150308

LCM of 6022 and 6028

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

LCM of:
and

Least Common Multiple of 6022 and 6028

LCM of 6022 and 6028 is 18150308

Least common multiple can be found by multiplying the highest exponent prime factors of 6022 and 6028. First we will calculate the prime factors of 6022 and 6028.

Prime Factorization of 6022


2 6022
3011 3011
1

Prime factors of 6022 are 2,3011. Prime factorization of 6022 in exponential form is:

6022 = 21×30111

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 6022 and 6028.

LCM(6022,6028) = 22×111×1371×30111
LCM(6022,6028) = 18150308

Factors of 6022

List of positive integer factors of 6022 that divides 6022 without a remainder.

1, 2, 3011, 6022

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 6022 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 6022 and 6028, than apply into the LCM equation.

GCF(6022,6028) = 2
LCM(6022,6028) = ( 6022 × 6028) / 2
LCM(6022,6028) = 36300616 / 2
LCM(6022,6028) = 18150308

Properties of LCM 6022 and 6028

(i) The LCM of 6028 and 6022 is associative

LCM of 6022 and 6028 = LCM of 6028 and 6022

Related Least Common Multiples of 6022

Related Least Common Multiples of 6028

Frequently Asked Questions on LCM of 6022 and 6028

1. What is the LCM of 6022 and 6028?

Answer: LCM of 6022 and 6028 is 18150308.

2. What are the Factors of 6022?

Answer: Factors of 6022 are 1, 2, 3011, 6022. There are 4 integers that are factors of 6022. The greatest factor of 6022 is 6022.

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 6022 and 6028?

Answer:

Least Common Multiple of 6022 and 6028 = 18150308

Step 1: Find the prime factorization of 6022

6022 = 2 x 3011

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 = 18150308 = 2 x 2 x 11 x 137 x 3011

Step 4: Therefore, the least common multiple of 6022 and 6028 is 18150308.