Least Common Multiple of 6016 and 6021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6016 and 6021 the smallest integer that is 36222336 that is divisible by both numbers.

Least Common Multiple (LCM) of 6016 and 6021 is 36222336.

LCM(6016,6021) = 36222336

LCM of 6016 and 6021

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

LCM of:
and

Least Common Multiple of 6016 and 6021

LCM of 6016 and 6021 is 36222336

Least common multiple can be found by multiplying the highest exponent prime factors of 6016 and 6021. First we will calculate the prime factors of 6016 and 6021.

Prime Factorization of 6016


2 6016
2 3008
2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 6016 are 2,47. Prime factorization of 6016 in exponential form is:

6016 = 27×471

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6016 and 6021.

LCM(6016,6021) = 27×33×471×2231
LCM(6016,6021) = 36222336

Factors of 6016

List of positive integer factors of 6016 that divides 6016 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016

Factors of 6021

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

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

Least Common Multiple of 6016 and 6021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6016 and 6021, than apply into the LCM equation.

GCF(6016,6021) = 1
LCM(6016,6021) = ( 6016 × 6021) / 1
LCM(6016,6021) = 36222336 / 1
LCM(6016,6021) = 36222336

Properties of LCM 6016 and 6021

(i) The LCM of 6021 and 6016 is associative

LCM of 6016 and 6021 = LCM of 6021 and 6016

Related Least Common Multiples of 6016

Related Least Common Multiples of 6021

Frequently Asked Questions on LCM of 6016 and 6021

1. What is the LCM of 6016 and 6021?

Answer: LCM of 6016 and 6021 is 36222336.

2. What are the Factors of 6016?

Answer: Factors of 6016 are 1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 376, 752, 1504, 3008, 6016. There are 16 integers that are factors of 6016. The greatest factor of 6016 is 6016.

3. 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.

4. How to Find the LCM of 6016 and 6021?

Answer:

Least Common Multiple of 6016 and 6021 = 36222336

Step 1: Find the prime factorization of 6016

6016 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 6021

6021 = 3 x 3 x 3 x 223

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

LCM = 36222336 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 47 x 223

Step 4: Therefore, the least common multiple of 6016 and 6021 is 36222336.