Least Common Multiple of 7035 and 7043

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 7043 the smallest integer that is 49547505 that is divisible by both numbers.

Least Common Multiple (LCM) of 7035 and 7043 is 49547505.

LCM(7035,7043) = 49547505

LCM of 7035 and 7043

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

LCM of:
and

Least Common Multiple of 7035 and 7043

LCM of 7035 and 7043 is 49547505

Least common multiple can be found by multiplying the highest exponent prime factors of 7035 and 7043. First we will calculate the prime factors of 7035 and 7043.

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 7043


7043 7043
1

Prime factors of 7043 are 7043. Prime factorization of 7043 in exponential form is:

7043 = 70431

Now multiplying the highest exponent prime factors to calculate the LCM of 7035 and 7043.

LCM(7035,7043) = 31×51×71×671×70431
LCM(7035,7043) = 49547505

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 7043

List of positive integer factors of 7043 that divides 7043 without a remainder.

1, 7043

Least Common Multiple of 7035 and 7043 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 7043, than apply into the LCM equation.

GCF(7035,7043) = 1
LCM(7035,7043) = ( 7035 × 7043) / 1
LCM(7035,7043) = 49547505 / 1
LCM(7035,7043) = 49547505

Properties of LCM 7035 and 7043

(i) The LCM of 7043 and 7035 is associative

LCM of 7035 and 7043 = LCM of 7043 and 7035

Related Least Common Multiples of 7035

Related Least Common Multiples of 7043

Frequently Asked Questions on LCM of 7035 and 7043

1. What is the LCM of 7035 and 7043?

Answer: LCM of 7035 and 7043 is 49547505.

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 7043?

Answer: Factors of 7043 are 1, 7043. There are 2 integers that are factors of 7043. The greatest factor of 7043 is 7043.

4. How to Find the LCM of 7035 and 7043?

Answer:

Least Common Multiple of 7035 and 7043 = 49547505

Step 1: Find the prime factorization of 7035

7035 = 3 x 5 x 7 x 67

Step 2: Find the prime factorization of 7043

7043 = 7043

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

LCM = 49547505 = 3 x 5 x 7 x 67 x 7043

Step 4: Therefore, the least common multiple of 7035 and 7043 is 49547505.