Least Common Multiple of 4037 and 4044

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4037 and 4044 the smallest integer that is 16325628 that is divisible by both numbers.

Least Common Multiple (LCM) of 4037 and 4044 is 16325628.

LCM(4037,4044) = 16325628

LCM of 4037 and 4044

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

LCM of:
and

Least Common Multiple of 4037 and 4044

LCM of 4037 and 4044 is 16325628

Least common multiple can be found by multiplying the highest exponent prime factors of 4037 and 4044. First we will calculate the prime factors of 4037 and 4044.

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

Prime Factorization of 4044


2 4044
2 2022
3 1011
337 337
1

Prime factors of 4044 are 2, 3,337. Prime factorization of 4044 in exponential form is:

4044 = 22×31×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 4037 and 4044.

LCM(4037,4044) = 22×31×111×3371×3671
LCM(4037,4044) = 16325628

Factors of 4037

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

1, 11, 367, 4037

Factors of 4044

List of positive integer factors of 4044 that divides 4044 without a remainder.

1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044

Least Common Multiple of 4037 and 4044 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4037 and 4044, than apply into the LCM equation.

GCF(4037,4044) = 1
LCM(4037,4044) = ( 4037 × 4044) / 1
LCM(4037,4044) = 16325628 / 1
LCM(4037,4044) = 16325628

Properties of LCM 4037 and 4044

(i) The LCM of 4044 and 4037 is associative

LCM of 4037 and 4044 = LCM of 4044 and 4037

Related Least Common Multiples of 4037

Related Least Common Multiples of 4044

Frequently Asked Questions on LCM of 4037 and 4044

1. What is the LCM of 4037 and 4044?

Answer: LCM of 4037 and 4044 is 16325628.

2. 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.

3. What are the Factors of 4044?

Answer: Factors of 4044 are 1, 2, 3, 4, 6, 12, 337, 674, 1011, 1348, 2022, 4044. There are 12 integers that are factors of 4044. The greatest factor of 4044 is 4044.

4. How to Find the LCM of 4037 and 4044?

Answer:

Least Common Multiple of 4037 and 4044 = 16325628

Step 1: Find the prime factorization of 4037

4037 = 11 x 367

Step 2: Find the prime factorization of 4044

4044 = 2 x 2 x 3 x 337

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

LCM = 16325628 = 2 x 2 x 3 x 11 x 337 x 367

Step 4: Therefore, the least common multiple of 4037 and 4044 is 16325628.