Least Common Multiple of 4032 and 4036

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 4036 the smallest integer that is 4068288 that is divisible by both numbers.

Least Common Multiple (LCM) of 4032 and 4036 is 4068288.

LCM(4032,4036) = 4068288

LCM of 4032 and 4036

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

LCM of:
and

Least Common Multiple of 4032 and 4036

LCM of 4032 and 4036 is 4068288

Least common multiple can be found by multiplying the highest exponent prime factors of 4032 and 4036. First we will calculate the prime factors of 4032 and 4036.

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 4036


2 4036
2 2018
1009 1009
1

Prime factors of 4036 are 2,1009. Prime factorization of 4036 in exponential form is:

4036 = 22×10091

Now multiplying the highest exponent prime factors to calculate the LCM of 4032 and 4036.

LCM(4032,4036) = 26×32×71×10091
LCM(4032,4036) = 4068288

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 4036

List of positive integer factors of 4036 that divides 4036 without a remainder.

1, 2, 4, 1009, 2018, 4036

Least Common Multiple of 4032 and 4036 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 4036, than apply into the LCM equation.

GCF(4032,4036) = 4
LCM(4032,4036) = ( 4032 × 4036) / 4
LCM(4032,4036) = 16273152 / 4
LCM(4032,4036) = 4068288

Properties of LCM 4032 and 4036

(i) The LCM of 4036 and 4032 is associative

LCM of 4032 and 4036 = LCM of 4036 and 4032

Related Least Common Multiples of 4032

Related Least Common Multiples of 4036

Frequently Asked Questions on LCM of 4032 and 4036

1. What is the LCM of 4032 and 4036?

Answer: LCM of 4032 and 4036 is 4068288.

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 4036?

Answer: Factors of 4036 are 1, 2, 4, 1009, 2018, 4036. There are 6 integers that are factors of 4036. The greatest factor of 4036 is 4036.

4. How to Find the LCM of 4032 and 4036?

Answer:

Least Common Multiple of 4032 and 4036 = 4068288

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 4036

4036 = 2 x 2 x 1009

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

LCM = 4068288 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 1009

Step 4: Therefore, the least common multiple of 4032 and 4036 is 4068288.