Least Common Multiple of 4024 and 4032

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4024 and 4032 the smallest integer that is 2028096 that is divisible by both numbers.

Least Common Multiple (LCM) of 4024 and 4032 is 2028096.

LCM(4024,4032) = 2028096

LCM of 4024 and 4032

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

LCM of:
and

Least Common Multiple of 4024 and 4032

LCM of 4024 and 4032 is 2028096

Least common multiple can be found by multiplying the highest exponent prime factors of 4024 and 4032. First we will calculate the prime factors of 4024 and 4032.

Prime Factorization of 4024


2 4024
2 2012
2 1006
503 503
1

Prime factors of 4024 are 2,503. Prime factorization of 4024 in exponential form is:

4024 = 23×5031

Prime Factorization of 4032


2 4032
2 2016
2 1008
2 504
2 252
2 126
3 63
3 21
7 7
1

Prime factors of 4032 are 2, 3,7. Prime factorization of 4032 in exponential form is:

4032 = 26×32×71

Now multiplying the highest exponent prime factors to calculate the LCM of 4024 and 4032.

LCM(4024,4032) = 26×32×71×5031
LCM(4024,4032) = 2028096

Factors of 4024

List of positive integer factors of 4024 that divides 4024 without a remainder.

1, 2, 4, 8, 503, 1006, 2012, 4024

Factors of 4032

List of positive integer factors of 4032 that divides 4032 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032

Least Common Multiple of 4024 and 4032 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4024 and 4032, than apply into the LCM equation.

GCF(4024,4032) = 8
LCM(4024,4032) = ( 4024 × 4032) / 8
LCM(4024,4032) = 16224768 / 8
LCM(4024,4032) = 2028096

Properties of LCM 4024 and 4032

(i) The LCM of 4032 and 4024 is associative

LCM of 4024 and 4032 = LCM of 4032 and 4024

Related Least Common Multiples of 4024

Related Least Common Multiples of 4032

Frequently Asked Questions on LCM of 4024 and 4032

1. What is the LCM of 4024 and 4032?

Answer: LCM of 4024 and 4032 is 2028096.

2. What are the Factors of 4024?

Answer: Factors of 4024 are 1, 2, 4, 8, 503, 1006, 2012, 4024. There are 8 integers that are factors of 4024. The greatest factor of 4024 is 4024.

3. What are the Factors of 4032?

Answer: Factors of 4032 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 64, 72, 84, 96, 112, 126, 144, 168, 192, 224, 252, 288, 336, 448, 504, 576, 672, 1008, 1344, 2016, 4032. There are 42 integers that are factors of 4032. The greatest factor of 4032 is 4032.

4. How to Find the LCM of 4024 and 4032?

Answer:

Least Common Multiple of 4024 and 4032 = 2028096

Step 1: Find the prime factorization of 4024

4024 = 2 x 2 x 2 x 503

Step 2: Find the prime factorization of 4032

4032 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7

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

LCM = 2028096 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 503

Step 4: Therefore, the least common multiple of 4024 and 4032 is 2028096.