Least Common Multiple of 6023 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 6023 and 6028 the smallest integer that is 36306644 that is divisible by both numbers.

Least Common Multiple (LCM) of 6023 and 6028 is 36306644.

LCM(6023,6028) = 36306644

LCM of 6023 and 6028

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

LCM of:
and

Least Common Multiple of 6023 and 6028

LCM of 6023 and 6028 is 36306644

Least common multiple can be found by multiplying the highest exponent prime factors of 6023 and 6028. First we will calculate the prime factors of 6023 and 6028.

Prime Factorization of 6023


19 6023
317 317
1

Prime factors of 6023 are 19,317. Prime factorization of 6023 in exponential form is:

6023 = 191×3171

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 6023 and 6028.

LCM(6023,6028) = 22×111×191×1371×3171
LCM(6023,6028) = 36306644

Factors of 6023

List of positive integer factors of 6023 that divides 6023 without a remainder.

1, 19, 317, 6023

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 6023 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 6023 and 6028, than apply into the LCM equation.

GCF(6023,6028) = 1
LCM(6023,6028) = ( 6023 × 6028) / 1
LCM(6023,6028) = 36306644 / 1
LCM(6023,6028) = 36306644

Properties of LCM 6023 and 6028

(i) The LCM of 6028 and 6023 is associative

LCM of 6023 and 6028 = LCM of 6028 and 6023

Related Least Common Multiples of 6023

Related Least Common Multiples of 6028

Frequently Asked Questions on LCM of 6023 and 6028

1. What is the LCM of 6023 and 6028?

Answer: LCM of 6023 and 6028 is 36306644.

2. What are the Factors of 6023?

Answer: Factors of 6023 are 1, 19, 317, 6023. There are 4 integers that are factors of 6023. The greatest factor of 6023 is 6023.

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 6023 and 6028?

Answer:

Least Common Multiple of 6023 and 6028 = 36306644

Step 1: Find the prime factorization of 6023

6023 = 19 x 317

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 = 36306644 = 2 x 2 x 11 x 19 x 137 x 317

Step 4: Therefore, the least common multiple of 6023 and 6028 is 36306644.