Least Common Multiple of 4035 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 4035 and 4041 the smallest integer that is 5435145 that is divisible by both numbers.

Least Common Multiple (LCM) of 4035 and 4041 is 5435145.

LCM(4035,4041) = 5435145

LCM of 4035 and 4041

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

LCM of:
and

Least Common Multiple of 4035 and 4041

LCM of 4035 and 4041 is 5435145

Least common multiple can be found by multiplying the highest exponent prime factors of 4035 and 4041. First we will calculate the prime factors of 4035 and 4041.

Prime Factorization of 4035


3 4035
5 1345
269 269
1

Prime factors of 4035 are 3, 5,269. Prime factorization of 4035 in exponential form is:

4035 = 31×51×2691

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 4035 and 4041.

LCM(4035,4041) = 32×51×2691×4491
LCM(4035,4041) = 5435145

Factors of 4035

List of positive integer factors of 4035 that divides 4035 without a remainder.

1, 3, 5, 15, 269, 807, 1345, 4035

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 4035 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 4035 and 4041, than apply into the LCM equation.

GCF(4035,4041) = 3
LCM(4035,4041) = ( 4035 × 4041) / 3
LCM(4035,4041) = 16305435 / 3
LCM(4035,4041) = 5435145

Properties of LCM 4035 and 4041

(i) The LCM of 4041 and 4035 is associative

LCM of 4035 and 4041 = LCM of 4041 and 4035

Related Least Common Multiples of 4035

Related Least Common Multiples of 4041

Frequently Asked Questions on LCM of 4035 and 4041

1. What is the LCM of 4035 and 4041?

Answer: LCM of 4035 and 4041 is 5435145.

2. What are the Factors of 4035?

Answer: Factors of 4035 are 1, 3, 5, 15, 269, 807, 1345, 4035. There are 8 integers that are factors of 4035. The greatest factor of 4035 is 4035.

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 4035 and 4041?

Answer:

Least Common Multiple of 4035 and 4041 = 5435145

Step 1: Find the prime factorization of 4035

4035 = 3 x 5 x 269

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 = 5435145 = 3 x 3 x 5 x 269 x 449

Step 4: Therefore, the least common multiple of 4035 and 4041 is 5435145.