Least Common Multiple of 4032 and 4038

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4032 and 4038 the smallest integer that is 2713536 that is divisible by both numbers.

Least Common Multiple (LCM) of 4032 and 4038 is 2713536.

LCM(4032,4038) = 2713536

LCM of 4032 and 4038

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

LCM of:
and

Least Common Multiple of 4032 and 4038

LCM of 4032 and 4038 is 2713536

Least common multiple can be found by multiplying the highest exponent prime factors of 4032 and 4038. First we will calculate the prime factors of 4032 and 4038.

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

Prime Factorization of 4038


2 4038
3 2019
673 673
1

Prime factors of 4038 are 2, 3,673. Prime factorization of 4038 in exponential form is:

4038 = 21×31×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 4032 and 4038.

LCM(4032,4038) = 26×32×71×6731
LCM(4032,4038) = 2713536

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

Factors of 4038

List of positive integer factors of 4038 that divides 4038 without a remainder.

1, 2, 3, 6, 673, 1346, 2019, 4038

Least Common Multiple of 4032 and 4038 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4032 and 4038, than apply into the LCM equation.

GCF(4032,4038) = 6
LCM(4032,4038) = ( 4032 × 4038) / 6
LCM(4032,4038) = 16281216 / 6
LCM(4032,4038) = 2713536

Properties of LCM 4032 and 4038

(i) The LCM of 4038 and 4032 is associative

LCM of 4032 and 4038 = LCM of 4038 and 4032

Related Least Common Multiples of 4032

Related Least Common Multiples of 4038

Frequently Asked Questions on LCM of 4032 and 4038

1. What is the LCM of 4032 and 4038?

Answer: LCM of 4032 and 4038 is 2713536.

2. 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.

3. What are the Factors of 4038?

Answer: Factors of 4038 are 1, 2, 3, 6, 673, 1346, 2019, 4038. There are 8 integers that are factors of 4038. The greatest factor of 4038 is 4038.

4. How to Find the LCM of 4032 and 4038?

Answer:

Least Common Multiple of 4032 and 4038 = 2713536

Step 1: 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 2: Find the prime factorization of 4038

4038 = 2 x 3 x 673

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

LCM = 2713536 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 673

Step 4: Therefore, the least common multiple of 4032 and 4038 is 2713536.