Least Common Multiple of 4032 and 4037

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 4037 the smallest integer that is 16277184 that is divisible by both numbers.

Least Common Multiple (LCM) of 4032 and 4037 is 16277184.

LCM(4032,4037) = 16277184

LCM of 4032 and 4037

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

LCM of:
and

Least Common Multiple of 4032 and 4037

LCM of 4032 and 4037 is 16277184

Least common multiple can be found by multiplying the highest exponent prime factors of 4032 and 4037. First we will calculate the prime factors of 4032 and 4037.

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 4037


11 4037
367 367
1

Prime factors of 4037 are 11,367. Prime factorization of 4037 in exponential form is:

4037 = 111×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 4032 and 4037.

LCM(4032,4037) = 26×32×71×111×3671
LCM(4032,4037) = 16277184

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 4037

List of positive integer factors of 4037 that divides 4037 without a remainder.

1, 11, 367, 4037

Least Common Multiple of 4032 and 4037 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 4037, than apply into the LCM equation.

GCF(4032,4037) = 1
LCM(4032,4037) = ( 4032 × 4037) / 1
LCM(4032,4037) = 16277184 / 1
LCM(4032,4037) = 16277184

Properties of LCM 4032 and 4037

(i) The LCM of 4037 and 4032 is associative

LCM of 4032 and 4037 = LCM of 4037 and 4032

Related Least Common Multiples of 4032

Related Least Common Multiples of 4037

Frequently Asked Questions on LCM of 4032 and 4037

1. What is the LCM of 4032 and 4037?

Answer: LCM of 4032 and 4037 is 16277184.

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 4037?

Answer: Factors of 4037 are 1, 11, 367, 4037. There are 4 integers that are factors of 4037. The greatest factor of 4037 is 4037.

4. How to Find the LCM of 4032 and 4037?

Answer:

Least Common Multiple of 4032 and 4037 = 16277184

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 4037

4037 = 11 x 367

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

LCM = 16277184 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 367

Step 4: Therefore, the least common multiple of 4032 and 4037 is 16277184.