Least Common Multiple of 4032 and 4040

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 4040 the smallest integer that is 2036160 that is divisible by both numbers.

Least Common Multiple (LCM) of 4032 and 4040 is 2036160.

LCM(4032,4040) = 2036160

LCM of 4032 and 4040

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

LCM of:
and

Least Common Multiple of 4032 and 4040

LCM of 4032 and 4040 is 2036160

Least common multiple can be found by multiplying the highest exponent prime factors of 4032 and 4040. First we will calculate the prime factors of 4032 and 4040.

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 4040


2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 4040 are 2, 5,101. Prime factorization of 4040 in exponential form is:

4040 = 23×51×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 4032 and 4040.

LCM(4032,4040) = 26×32×51×71×1011
LCM(4032,4040) = 2036160

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 4040

List of positive integer factors of 4040 that divides 4040 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040

Least Common Multiple of 4032 and 4040 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 4040, than apply into the LCM equation.

GCF(4032,4040) = 8
LCM(4032,4040) = ( 4032 × 4040) / 8
LCM(4032,4040) = 16289280 / 8
LCM(4032,4040) = 2036160

Properties of LCM 4032 and 4040

(i) The LCM of 4040 and 4032 is associative

LCM of 4032 and 4040 = LCM of 4040 and 4032

Related Least Common Multiples of 4032

Related Least Common Multiples of 4040

Frequently Asked Questions on LCM of 4032 and 4040

1. What is the LCM of 4032 and 4040?

Answer: LCM of 4032 and 4040 is 2036160.

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 4040?

Answer: Factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040. There are 16 integers that are factors of 4040. The greatest factor of 4040 is 4040.

4. How to Find the LCM of 4032 and 4040?

Answer:

Least Common Multiple of 4032 and 4040 = 2036160

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 4040

4040 = 2 x 2 x 2 x 5 x 101

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

LCM = 2036160 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 101

Step 4: Therefore, the least common multiple of 4032 and 4040 is 2036160.