Least Common Multiple of 6021 and 6026

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6021 and 6026 the smallest integer that is 36282546 that is divisible by both numbers.

Least Common Multiple (LCM) of 6021 and 6026 is 36282546.

LCM(6021,6026) = 36282546

LCM of 6021 and 6026

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

LCM of:
and

Least Common Multiple of 6021 and 6026

LCM of 6021 and 6026 is 36282546

Least common multiple can be found by multiplying the highest exponent prime factors of 6021 and 6026. First we will calculate the prime factors of 6021 and 6026.

Prime Factorization of 6021


3 6021
3 2007
3 669
223 223
1

Prime factors of 6021 are 3,223. Prime factorization of 6021 in exponential form is:

6021 = 33×2231

Prime Factorization of 6026


2 6026
23 3013
131 131
1

Prime factors of 6026 are 2, 23,131. Prime factorization of 6026 in exponential form is:

6026 = 21×231×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 6021 and 6026.

LCM(6021,6026) = 21×33×231×1311×2231
LCM(6021,6026) = 36282546

Factors of 6021

List of positive integer factors of 6021 that divides 6021 without a remainder.

1, 3, 9, 27, 223, 669, 2007, 6021

Factors of 6026

List of positive integer factors of 6026 that divides 6026 without a remainder.

1, 2, 23, 46, 131, 262, 3013, 6026

Least Common Multiple of 6021 and 6026 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6021 and 6026, than apply into the LCM equation.

GCF(6021,6026) = 1
LCM(6021,6026) = ( 6021 × 6026) / 1
LCM(6021,6026) = 36282546 / 1
LCM(6021,6026) = 36282546

Properties of LCM 6021 and 6026

(i) The LCM of 6026 and 6021 is associative

LCM of 6021 and 6026 = LCM of 6026 and 6021

Related Least Common Multiples of 6021

Related Least Common Multiples of 6026

Frequently Asked Questions on LCM of 6021 and 6026

1. What is the LCM of 6021 and 6026?

Answer: LCM of 6021 and 6026 is 36282546.

2. What are the Factors of 6021?

Answer: Factors of 6021 are 1, 3, 9, 27, 223, 669, 2007, 6021. There are 8 integers that are factors of 6021. The greatest factor of 6021 is 6021.

3. What are the Factors of 6026?

Answer: Factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026. There are 8 integers that are factors of 6026. The greatest factor of 6026 is 6026.

4. How to Find the LCM of 6021 and 6026?

Answer:

Least Common Multiple of 6021 and 6026 = 36282546

Step 1: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

Step 2: Find the prime factorization of 6026

6026 = 2 x 23 x 131

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

LCM = 36282546 = 2 x 3 x 3 x 3 x 23 x 131 x 223

Step 4: Therefore, the least common multiple of 6021 and 6026 is 36282546.