Least Common Multiple of 4023 and 4028

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4023 and 4028 the smallest integer that is 16204644 that is divisible by both numbers.

Least Common Multiple (LCM) of 4023 and 4028 is 16204644.

LCM(4023,4028) = 16204644

LCM of 4023 and 4028

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

LCM of:
and

Least Common Multiple of 4023 and 4028

LCM of 4023 and 4028 is 16204644

Least common multiple can be found by multiplying the highest exponent prime factors of 4023 and 4028. First we will calculate the prime factors of 4023 and 4028.

Prime Factorization of 4023


3 4023
3 1341
3 447
149 149
1

Prime factors of 4023 are 3,149. Prime factorization of 4023 in exponential form is:

4023 = 33×1491

Prime Factorization of 4028


2 4028
2 2014
19 1007
53 53
1

Prime factors of 4028 are 2, 19,53. Prime factorization of 4028 in exponential form is:

4028 = 22×191×531

Now multiplying the highest exponent prime factors to calculate the LCM of 4023 and 4028.

LCM(4023,4028) = 22×33×191×531×1491
LCM(4023,4028) = 16204644

Factors of 4023

List of positive integer factors of 4023 that divides 4023 without a remainder.

1, 3, 9, 27, 149, 447, 1341, 4023

Factors of 4028

List of positive integer factors of 4028 that divides 4028 without a remainder.

1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028

Least Common Multiple of 4023 and 4028 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4023 and 4028, than apply into the LCM equation.

GCF(4023,4028) = 1
LCM(4023,4028) = ( 4023 × 4028) / 1
LCM(4023,4028) = 16204644 / 1
LCM(4023,4028) = 16204644

Properties of LCM 4023 and 4028

(i) The LCM of 4028 and 4023 is associative

LCM of 4023 and 4028 = LCM of 4028 and 4023

Related Least Common Multiples of 4023

Related Least Common Multiples of 4028

Frequently Asked Questions on LCM of 4023 and 4028

1. What is the LCM of 4023 and 4028?

Answer: LCM of 4023 and 4028 is 16204644.

2. What are the Factors of 4023?

Answer: Factors of 4023 are 1, 3, 9, 27, 149, 447, 1341, 4023. There are 8 integers that are factors of 4023. The greatest factor of 4023 is 4023.

3. What are the Factors of 4028?

Answer: Factors of 4028 are 1, 2, 4, 19, 38, 53, 76, 106, 212, 1007, 2014, 4028. There are 12 integers that are factors of 4028. The greatest factor of 4028 is 4028.

4. How to Find the LCM of 4023 and 4028?

Answer:

Least Common Multiple of 4023 and 4028 = 16204644

Step 1: Find the prime factorization of 4023

4023 = 3 x 3 x 3 x 149

Step 2: Find the prime factorization of 4028

4028 = 2 x 2 x 19 x 53

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

LCM = 16204644 = 2 x 2 x 3 x 3 x 3 x 19 x 53 x 149

Step 4: Therefore, the least common multiple of 4023 and 4028 is 16204644.