Least Common Multiple of 7030 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 7030 and 7035 the smallest integer that is 9891210 that is divisible by both numbers.

Least Common Multiple (LCM) of 7030 and 7035 is 9891210.

LCM(7030,7035) = 9891210

LCM of 7030 and 7035

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

LCM of:
and

Least Common Multiple of 7030 and 7035

LCM of 7030 and 7035 is 9891210

Least common multiple can be found by multiplying the highest exponent prime factors of 7030 and 7035. First we will calculate the prime factors of 7030 and 7035.

Prime Factorization of 7030


2 7030
5 3515
19 703
37 37
1

Prime factors of 7030 are 2, 5, 19,37. Prime factorization of 7030 in exponential form is:

7030 = 21×51×191×371

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 7030 and 7035.

LCM(7030,7035) = 21×31×51×71×191×371×671
LCM(7030,7035) = 9891210

Factors of 7030

List of positive integer factors of 7030 that divides 7030 without a remainder.

1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030

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 7030 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 7030 and 7035, than apply into the LCM equation.

GCF(7030,7035) = 5
LCM(7030,7035) = ( 7030 × 7035) / 5
LCM(7030,7035) = 49456050 / 5
LCM(7030,7035) = 9891210

Properties of LCM 7030 and 7035

(i) The LCM of 7035 and 7030 is associative

LCM of 7030 and 7035 = LCM of 7035 and 7030

Related Least Common Multiples of 7030

Related Least Common Multiples of 7035

Frequently Asked Questions on LCM of 7030 and 7035

1. What is the LCM of 7030 and 7035?

Answer: LCM of 7030 and 7035 is 9891210.

2. What are the Factors of 7030?

Answer: Factors of 7030 are 1, 2, 5, 10, 19, 37, 38, 74, 95, 185, 190, 370, 703, 1406, 3515, 7030. There are 16 integers that are factors of 7030. The greatest factor of 7030 is 7030.

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 7030 and 7035?

Answer:

Least Common Multiple of 7030 and 7035 = 9891210

Step 1: Find the prime factorization of 7030

7030 = 2 x 5 x 19 x 37

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 = 9891210 = 2 x 3 x 5 x 7 x 19 x 37 x 67

Step 4: Therefore, the least common multiple of 7030 and 7035 is 9891210.