Least Common Multiple of 6016 and 6024

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 6024 the smallest integer that is 4530048 that is divisible by both numbers.

Least Common Multiple (LCM) of 6016 and 6024 is 4530048.

LCM(6016,6024) = 4530048

LCM of 6016 and 6024

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

LCM of:
and

Least Common Multiple of 6016 and 6024

LCM of 6016 and 6024 is 4530048

Least common multiple can be found by multiplying the highest exponent prime factors of 6016 and 6024. First we will calculate the prime factors of 6016 and 6024.

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 6024


2 6024
2 3012
2 1506
3 753
251 251
1

Prime factors of 6024 are 2, 3,251. Prime factorization of 6024 in exponential form is:

6024 = 23×31×2511

Now multiplying the highest exponent prime factors to calculate the LCM of 6016 and 6024.

LCM(6016,6024) = 27×31×471×2511
LCM(6016,6024) = 4530048

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 6024

List of positive integer factors of 6024 that divides 6024 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024

Least Common Multiple of 6016 and 6024 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 6024, than apply into the LCM equation.

GCF(6016,6024) = 8
LCM(6016,6024) = ( 6016 × 6024) / 8
LCM(6016,6024) = 36240384 / 8
LCM(6016,6024) = 4530048

Properties of LCM 6016 and 6024

(i) The LCM of 6024 and 6016 is associative

LCM of 6016 and 6024 = LCM of 6024 and 6016

Related Least Common Multiples of 6016

Related Least Common Multiples of 6024

Frequently Asked Questions on LCM of 6016 and 6024

1. What is the LCM of 6016 and 6024?

Answer: LCM of 6016 and 6024 is 4530048.

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 6024?

Answer: Factors of 6024 are 1, 2, 3, 4, 6, 8, 12, 24, 251, 502, 753, 1004, 1506, 2008, 3012, 6024. There are 16 integers that are factors of 6024. The greatest factor of 6024 is 6024.

4. How to Find the LCM of 6016 and 6024?

Answer:

Least Common Multiple of 6016 and 6024 = 4530048

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 6024

6024 = 2 x 2 x 2 x 3 x 251

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

LCM = 4530048 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 47 x 251

Step 4: Therefore, the least common multiple of 6016 and 6024 is 4530048.