Least Common Multiple of 7033 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 7033 and 7041 the smallest integer that is 49519353 that is divisible by both numbers.

Least Common Multiple (LCM) of 7033 and 7041 is 49519353.

LCM(7033,7041) = 49519353

LCM of 7033 and 7041

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

LCM of:
and

Least Common Multiple of 7033 and 7041

LCM of 7033 and 7041 is 49519353

Least common multiple can be found by multiplying the highest exponent prime factors of 7033 and 7041. First we will calculate the prime factors of 7033 and 7041.

Prime Factorization of 7033


13 7033
541 541
1

Prime factors of 7033 are 13,541. Prime factorization of 7033 in exponential form is:

7033 = 131×5411

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 7033 and 7041.

LCM(7033,7041) = 31×131×5411×23471
LCM(7033,7041) = 49519353

Factors of 7033

List of positive integer factors of 7033 that divides 7033 without a remainder.

1, 13, 541, 7033

Factors of 7041

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

1, 3, 2347, 7041

Least Common Multiple of 7033 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 7033 and 7041, than apply into the LCM equation.

GCF(7033,7041) = 1
LCM(7033,7041) = ( 7033 × 7041) / 1
LCM(7033,7041) = 49519353 / 1
LCM(7033,7041) = 49519353

Properties of LCM 7033 and 7041

(i) The LCM of 7041 and 7033 is associative

LCM of 7033 and 7041 = LCM of 7041 and 7033

Related Least Common Multiples of 7033

Related Least Common Multiples of 7041

Frequently Asked Questions on LCM of 7033 and 7041

1. What is the LCM of 7033 and 7041?

Answer: LCM of 7033 and 7041 is 49519353.

2. What are the Factors of 7033?

Answer: Factors of 7033 are 1, 13, 541, 7033. There are 4 integers that are factors of 7033. The greatest factor of 7033 is 7033.

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 7033 and 7041?

Answer:

Least Common Multiple of 7033 and 7041 = 49519353

Step 1: Find the prime factorization of 7033

7033 = 13 x 541

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 = 49519353 = 3 x 13 x 541 x 2347

Step 4: Therefore, the least common multiple of 7033 and 7041 is 49519353.