Least Common Multiple of 4037 and 4041

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 4041 the smallest integer that is 16313517 that is divisible by both numbers.

Least Common Multiple (LCM) of 4037 and 4041 is 16313517.

LCM(4037,4041) = 16313517

LCM of 4037 and 4041

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

LCM of:
and

Least Common Multiple of 4037 and 4041

LCM of 4037 and 4041 is 16313517

Least common multiple can be found by multiplying the highest exponent prime factors of 4037 and 4041. First we will calculate the prime factors of 4037 and 4041.

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 4041


3 4041
3 1347
449 449
1

Prime factors of 4041 are 3,449. Prime factorization of 4041 in exponential form is:

4041 = 32×4491

Now multiplying the highest exponent prime factors to calculate the LCM of 4037 and 4041.

LCM(4037,4041) = 32×111×3671×4491
LCM(4037,4041) = 16313517

Factors of 4037

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

1, 11, 367, 4037

Factors of 4041

List of positive integer factors of 4041 that divides 4041 without a remainder.

1, 3, 9, 449, 1347, 4041

Least Common Multiple of 4037 and 4041 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 4041, than apply into the LCM equation.

GCF(4037,4041) = 1
LCM(4037,4041) = ( 4037 × 4041) / 1
LCM(4037,4041) = 16313517 / 1
LCM(4037,4041) = 16313517

Properties of LCM 4037 and 4041

(i) The LCM of 4041 and 4037 is associative

LCM of 4037 and 4041 = LCM of 4041 and 4037

Related Least Common Multiples of 4037

Related Least Common Multiples of 4041

Frequently Asked Questions on LCM of 4037 and 4041

1. What is the LCM of 4037 and 4041?

Answer: LCM of 4037 and 4041 is 16313517.

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 4041?

Answer: Factors of 4041 are 1, 3, 9, 449, 1347, 4041. There are 6 integers that are factors of 4041. The greatest factor of 4041 is 4041.

4. How to Find the LCM of 4037 and 4041?

Answer:

Least Common Multiple of 4037 and 4041 = 16313517

Step 1: Find the prime factorization of 4037

4037 = 11 x 367

Step 2: Find the prime factorization of 4041

4041 = 3 x 3 x 449

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

LCM = 16313517 = 3 x 3 x 11 x 367 x 449

Step 4: Therefore, the least common multiple of 4037 and 4041 is 16313517.