Least Common Multiple of 4032 and 4039

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 4039 the smallest integer that is 2326464 that is divisible by both numbers.

Least Common Multiple (LCM) of 4032 and 4039 is 2326464.

LCM(4032,4039) = 2326464

LCM of 4032 and 4039

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

LCM of:
and

Least Common Multiple of 4032 and 4039

LCM of 4032 and 4039 is 2326464

Least common multiple can be found by multiplying the highest exponent prime factors of 4032 and 4039. First we will calculate the prime factors of 4032 and 4039.

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 4039


7 4039
577 577
1

Prime factors of 4039 are 7,577. Prime factorization of 4039 in exponential form is:

4039 = 71×5771

Now multiplying the highest exponent prime factors to calculate the LCM of 4032 and 4039.

LCM(4032,4039) = 26×32×71×5771
LCM(4032,4039) = 2326464

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 4039

List of positive integer factors of 4039 that divides 4039 without a remainder.

1, 7, 577, 4039

Least Common Multiple of 4032 and 4039 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 4039, than apply into the LCM equation.

GCF(4032,4039) = 7
LCM(4032,4039) = ( 4032 × 4039) / 7
LCM(4032,4039) = 16285248 / 7
LCM(4032,4039) = 2326464

Properties of LCM 4032 and 4039

(i) The LCM of 4039 and 4032 is associative

LCM of 4032 and 4039 = LCM of 4039 and 4032

Related Least Common Multiples of 4032

Related Least Common Multiples of 4039

Frequently Asked Questions on LCM of 4032 and 4039

1. What is the LCM of 4032 and 4039?

Answer: LCM of 4032 and 4039 is 2326464.

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 4039?

Answer: Factors of 4039 are 1, 7, 577, 4039. There are 4 integers that are factors of 4039. The greatest factor of 4039 is 4039.

4. How to Find the LCM of 4032 and 4039?

Answer:

Least Common Multiple of 4032 and 4039 = 2326464

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 4039

4039 = 7 x 577

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

LCM = 2326464 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 577

Step 4: Therefore, the least common multiple of 4032 and 4039 is 2326464.