Least Common Multiple of 7033 and 7039

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 7039 the smallest integer that is 49505287 that is divisible by both numbers.

Least Common Multiple (LCM) of 7033 and 7039 is 49505287.

LCM(7033,7039) = 49505287

LCM of 7033 and 7039

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

LCM of:
and

Least Common Multiple of 7033 and 7039

LCM of 7033 and 7039 is 49505287

Least common multiple can be found by multiplying the highest exponent prime factors of 7033 and 7039. First we will calculate the prime factors of 7033 and 7039.

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 7039


7039 7039
1

Prime factors of 7039 are 7039. Prime factorization of 7039 in exponential form is:

7039 = 70391

Now multiplying the highest exponent prime factors to calculate the LCM of 7033 and 7039.

LCM(7033,7039) = 131×5411×70391
LCM(7033,7039) = 49505287

Factors of 7033

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

1, 13, 541, 7033

Factors of 7039

List of positive integer factors of 7039 that divides 7039 without a remainder.

1, 7039

Least Common Multiple of 7033 and 7039 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 7039, than apply into the LCM equation.

GCF(7033,7039) = 1
LCM(7033,7039) = ( 7033 × 7039) / 1
LCM(7033,7039) = 49505287 / 1
LCM(7033,7039) = 49505287

Properties of LCM 7033 and 7039

(i) The LCM of 7039 and 7033 is associative

LCM of 7033 and 7039 = LCM of 7039 and 7033

Related Least Common Multiples of 7033

Related Least Common Multiples of 7039

Frequently Asked Questions on LCM of 7033 and 7039

1. What is the LCM of 7033 and 7039?

Answer: LCM of 7033 and 7039 is 49505287.

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 7039?

Answer: Factors of 7039 are 1, 7039. There are 2 integers that are factors of 7039. The greatest factor of 7039 is 7039.

4. How to Find the LCM of 7033 and 7039?

Answer:

Least Common Multiple of 7033 and 7039 = 49505287

Step 1: Find the prime factorization of 7033

7033 = 13 x 541

Step 2: Find the prime factorization of 7039

7039 = 7039

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

LCM = 49505287 = 13 x 541 x 7039

Step 4: Therefore, the least common multiple of 7033 and 7039 is 49505287.