Least Common Multiple of 7027 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 7027 and 7035 the smallest integer that is 49434945 that is divisible by both numbers.

Least Common Multiple (LCM) of 7027 and 7035 is 49434945.

LCM(7027,7035) = 49434945

LCM of 7027 and 7035

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

LCM of:
and

Least Common Multiple of 7027 and 7035

LCM of 7027 and 7035 is 49434945

Least common multiple can be found by multiplying the highest exponent prime factors of 7027 and 7035. First we will calculate the prime factors of 7027 and 7035.

Prime Factorization of 7027


7027 7027
1

Prime factors of 7027 are 7027. Prime factorization of 7027 in exponential form is:

7027 = 70271

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 7027 and 7035.

LCM(7027,7035) = 31×51×71×671×70271
LCM(7027,7035) = 49434945

Factors of 7027

List of positive integer factors of 7027 that divides 7027 without a remainder.

1, 7027

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 7027 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 7027 and 7035, than apply into the LCM equation.

GCF(7027,7035) = 1
LCM(7027,7035) = ( 7027 × 7035) / 1
LCM(7027,7035) = 49434945 / 1
LCM(7027,7035) = 49434945

Properties of LCM 7027 and 7035

(i) The LCM of 7035 and 7027 is associative

LCM of 7027 and 7035 = LCM of 7035 and 7027

Related Least Common Multiples of 7027

Related Least Common Multiples of 7035

Frequently Asked Questions on LCM of 7027 and 7035

1. What is the LCM of 7027 and 7035?

Answer: LCM of 7027 and 7035 is 49434945.

2. What are the Factors of 7027?

Answer: Factors of 7027 are 1, 7027. There are 2 integers that are factors of 7027. The greatest factor of 7027 is 7027.

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 7027 and 7035?

Answer:

Least Common Multiple of 7027 and 7035 = 49434945

Step 1: Find the prime factorization of 7027

7027 = 7027

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 = 49434945 = 3 x 5 x 7 x 67 x 7027

Step 4: Therefore, the least common multiple of 7027 and 7035 is 49434945.