Least Common Multiple of 4026 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 4026 and 4032 the smallest integer that is 2705472 that is divisible by both numbers.

Least Common Multiple (LCM) of 4026 and 4032 is 2705472.

LCM(4026,4032) = 2705472

LCM of 4026 and 4032

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

LCM of:
and

Least Common Multiple of 4026 and 4032

LCM of 4026 and 4032 is 2705472

Least common multiple can be found by multiplying the highest exponent prime factors of 4026 and 4032. First we will calculate the prime factors of 4026 and 4032.

Prime Factorization of 4026


2 4026
3 2013
11 671
61 61
1

Prime factors of 4026 are 2, 3, 11,61. Prime factorization of 4026 in exponential form is:

4026 = 21×31×111×611

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 4026 and 4032.

LCM(4026,4032) = 26×32×71×111×611
LCM(4026,4032) = 2705472

Factors of 4026

List of positive integer factors of 4026 that divides 4026 without a remainder.

1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026

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 4026 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 4026 and 4032, than apply into the LCM equation.

GCF(4026,4032) = 6
LCM(4026,4032) = ( 4026 × 4032) / 6
LCM(4026,4032) = 16232832 / 6
LCM(4026,4032) = 2705472

Properties of LCM 4026 and 4032

(i) The LCM of 4032 and 4026 is associative

LCM of 4026 and 4032 = LCM of 4032 and 4026

Related Least Common Multiples of 4026

Related Least Common Multiples of 4032

Frequently Asked Questions on LCM of 4026 and 4032

1. What is the LCM of 4026 and 4032?

Answer: LCM of 4026 and 4032 is 2705472.

2. What are the Factors of 4026?

Answer: Factors of 4026 are 1, 2, 3, 6, 11, 22, 33, 61, 66, 122, 183, 366, 671, 1342, 2013, 4026. There are 16 integers that are factors of 4026. The greatest factor of 4026 is 4026.

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 4026 and 4032?

Answer:

Least Common Multiple of 4026 and 4032 = 2705472

Step 1: Find the prime factorization of 4026

4026 = 2 x 3 x 11 x 61

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 = 2705472 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 61

Step 4: Therefore, the least common multiple of 4026 and 4032 is 2705472.