Least Common Multiple of 7029 and 7035

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7029 and 7035 the smallest integer that is 16483005 that is divisible by both numbers.

Least Common Multiple (LCM) of 7029 and 7035 is 16483005.

LCM(7029,7035) = 16483005

LCM of 7029 and 7035

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

LCM of:
and

Least Common Multiple of 7029 and 7035

LCM of 7029 and 7035 is 16483005

Least common multiple can be found by multiplying the highest exponent prime factors of 7029 and 7035. First we will calculate the prime factors of 7029 and 7035.

Prime Factorization of 7029


3 7029
3 2343
11 781
71 71
1

Prime factors of 7029 are 3, 11,71. Prime factorization of 7029 in exponential form is:

7029 = 32×111×711

Prime Factorization of 7035


3 7035
5 2345
7 469
67 67
1

Prime factors of 7035 are 3, 5, 7,67. Prime factorization of 7035 in exponential form is:

7035 = 31×51×71×671

Now multiplying the highest exponent prime factors to calculate the LCM of 7029 and 7035.

LCM(7029,7035) = 32×51×71×111×671×711
LCM(7029,7035) = 16483005

Factors of 7029

List of positive integer factors of 7029 that divides 7029 without a remainder.

1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029

Factors of 7035

List of positive integer factors of 7035 that divides 7035 without a remainder.

1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035

Least Common Multiple of 7029 and 7035 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7029 and 7035, than apply into the LCM equation.

GCF(7029,7035) = 3
LCM(7029,7035) = ( 7029 × 7035) / 3
LCM(7029,7035) = 49449015 / 3
LCM(7029,7035) = 16483005

Properties of LCM 7029 and 7035

(i) The LCM of 7035 and 7029 is associative

LCM of 7029 and 7035 = LCM of 7035 and 7029

Related Least Common Multiples of 7029

Related Least Common Multiples of 7035

Frequently Asked Questions on LCM of 7029 and 7035

1. What is the LCM of 7029 and 7035?

Answer: LCM of 7029 and 7035 is 16483005.

2. What are the Factors of 7029?

Answer: Factors of 7029 are 1, 3, 9, 11, 33, 71, 99, 213, 639, 781, 2343, 7029. There are 12 integers that are factors of 7029. The greatest factor of 7029 is 7029.

3. What are the Factors of 7035?

Answer: Factors of 7035 are 1, 3, 5, 7, 15, 21, 35, 67, 105, 201, 335, 469, 1005, 1407, 2345, 7035. There are 16 integers that are factors of 7035. The greatest factor of 7035 is 7035.

4. How to Find the LCM of 7029 and 7035?

Answer:

Least Common Multiple of 7029 and 7035 = 16483005

Step 1: Find the prime factorization of 7029

7029 = 3 x 3 x 11 x 71

Step 2: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

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

LCM = 16483005 = 3 x 3 x 5 x 7 x 11 x 67 x 71

Step 4: Therefore, the least common multiple of 7029 and 7035 is 16483005.