Least Common Multiple of 4029 and 4035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 4029 and 4035 the smallest integer that is 5419005 that is divisible by both numbers.

Least Common Multiple (LCM) of 4029 and 4035 is 5419005.

LCM(4029,4035) = 5419005

LCM of 4029 and 4035

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

LCM of:
and

Least Common Multiple of 4029 and 4035

LCM of 4029 and 4035 is 5419005

Least common multiple can be found by multiplying the highest exponent prime factors of 4029 and 4035. First we will calculate the prime factors of 4029 and 4035.

Prime Factorization of 4029


3 4029
17 1343
79 79
1

Prime factors of 4029 are 3, 17,79. Prime factorization of 4029 in exponential form is:

4029 = 31×171×791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 4029 and 4035.

LCM(4029,4035) = 31×51×171×791×2691
LCM(4029,4035) = 5419005

Factors of 4029

List of positive integer factors of 4029 that divides 4029 without a remainder.

1, 3, 17, 51, 79, 237, 1343, 4029

Factors of 4035

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

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

Least Common Multiple of 4029 and 4035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4029 and 4035, than apply into the LCM equation.

GCF(4029,4035) = 3
LCM(4029,4035) = ( 4029 × 4035) / 3
LCM(4029,4035) = 16257015 / 3
LCM(4029,4035) = 5419005

Properties of LCM 4029 and 4035

(i) The LCM of 4035 and 4029 is associative

LCM of 4029 and 4035 = LCM of 4035 and 4029

Related Least Common Multiples of 4029

Related Least Common Multiples of 4035

Frequently Asked Questions on LCM of 4029 and 4035

1. What is the LCM of 4029 and 4035?

Answer: LCM of 4029 and 4035 is 5419005.

2. What are the Factors of 4029?

Answer: Factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029. There are 8 integers that are factors of 4029. The greatest factor of 4029 is 4029.

3. 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.

4. How to Find the LCM of 4029 and 4035?

Answer:

Least Common Multiple of 4029 and 4035 = 5419005

Step 1: Find the prime factorization of 4029

4029 = 3 x 17 x 79

Step 2: Find the prime factorization of 4035

4035 = 3 x 5 x 269

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

LCM = 5419005 = 3 x 5 x 17 x 79 x 269

Step 4: Therefore, the least common multiple of 4029 and 4035 is 5419005.