Least Common Multiple of 7035 and 7041

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7035 and 7041 the smallest integer that is 16511145 that is divisible by both numbers.

Least Common Multiple (LCM) of 7035 and 7041 is 16511145.

LCM(7035,7041) = 16511145

LCM of 7035 and 7041

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

LCM of:
and

Least Common Multiple of 7035 and 7041

LCM of 7035 and 7041 is 16511145

Least common multiple can be found by multiplying the highest exponent prime factors of 7035 and 7041. First we will calculate the prime factors of 7035 and 7041.

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

Prime Factorization of 7041


3 7041
2347 2347
1

Prime factors of 7041 are 3,2347. Prime factorization of 7041 in exponential form is:

7041 = 31×23471

Now multiplying the highest exponent prime factors to calculate the LCM of 7035 and 7041.

LCM(7035,7041) = 31×51×71×671×23471
LCM(7035,7041) = 16511145

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

Factors of 7041

List of positive integer factors of 7041 that divides 7041 without a remainder.

1, 3, 2347, 7041

Least Common Multiple of 7035 and 7041 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7035 and 7041, than apply into the LCM equation.

GCF(7035,7041) = 3
LCM(7035,7041) = ( 7035 × 7041) / 3
LCM(7035,7041) = 49533435 / 3
LCM(7035,7041) = 16511145

Properties of LCM 7035 and 7041

(i) The LCM of 7041 and 7035 is associative

LCM of 7035 and 7041 = LCM of 7041 and 7035

Related Least Common Multiples of 7035

Related Least Common Multiples of 7041

Frequently Asked Questions on LCM of 7035 and 7041

1. What is the LCM of 7035 and 7041?

Answer: LCM of 7035 and 7041 is 16511145.

2. 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.

3. What are the Factors of 7041?

Answer: Factors of 7041 are 1, 3, 2347, 7041. There are 4 integers that are factors of 7041. The greatest factor of 7041 is 7041.

4. How to Find the LCM of 7035 and 7041?

Answer:

Least Common Multiple of 7035 and 7041 = 16511145

Step 1: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

Step 2: Find the prime factorization of 7041

7041 = 3 x 2347

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

LCM = 16511145 = 3 x 5 x 7 x 67 x 2347

Step 4: Therefore, the least common multiple of 7035 and 7041 is 16511145.