Least Common Multiple of 4023 and 4026

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 4026 the smallest integer that is 5398866 that is divisible by both numbers.

Least Common Multiple (LCM) of 4023 and 4026 is 5398866.

LCM(4023,4026) = 5398866

LCM of 4023 and 4026

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

LCM of:
and

Least Common Multiple of 4023 and 4026

LCM of 4023 and 4026 is 5398866

Least common multiple can be found by multiplying the highest exponent prime factors of 4023 and 4026. First we will calculate the prime factors of 4023 and 4026.

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 4026


2 4026
3 2013
11 671
61 61
1

Prime factors of 4026 are 2, 3, 11,61. Prime factorization of 4026 in exponential form is:

4026 = 21×31×111×611

Now multiplying the highest exponent prime factors to calculate the LCM of 4023 and 4026.

LCM(4023,4026) = 21×33×111×611×1491
LCM(4023,4026) = 5398866

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 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

Least Common Multiple of 4023 and 4026 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 4026, than apply into the LCM equation.

GCF(4023,4026) = 3
LCM(4023,4026) = ( 4023 × 4026) / 3
LCM(4023,4026) = 16196598 / 3
LCM(4023,4026) = 5398866

Properties of LCM 4023 and 4026

(i) The LCM of 4026 and 4023 is associative

LCM of 4023 and 4026 = LCM of 4026 and 4023

Related Least Common Multiples of 4023

Related Least Common Multiples of 4026

Frequently Asked Questions on LCM of 4023 and 4026

1. What is the LCM of 4023 and 4026?

Answer: LCM of 4023 and 4026 is 5398866.

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 4026?

Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.

4. How to Find the LCM of 4023 and 4026?

Answer:

Least Common Multiple of 4023 and 4026 = 5398866

Step 1: Find the prime factorization of 4023

4023 = 3 x 3 x 3 x 149

Step 2: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

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

LCM = 5398866 = 2 x 3 x 3 x 3 x 11 x 61 x 149

Step 4: Therefore, the least common multiple of 4023 and 4026 is 5398866.