Least Common Multiple of 7027 and 7033

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 7033 the smallest integer that is 49420891 that is divisible by both numbers.

Least Common Multiple (LCM) of 7027 and 7033 is 49420891.

LCM(7027,7033) = 49420891

LCM of 7027 and 7033

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

LCM of:
and

Least Common Multiple of 7027 and 7033

LCM of 7027 and 7033 is 49420891

Least common multiple can be found by multiplying the highest exponent prime factors of 7027 and 7033. First we will calculate the prime factors of 7027 and 7033.

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 7033


13 7033
541 541
1

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

7033 = 131×5411

Now multiplying the highest exponent prime factors to calculate the LCM of 7027 and 7033.

LCM(7027,7033) = 131×5411×70271
LCM(7027,7033) = 49420891

Factors of 7027

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

1, 7027

Factors of 7033

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

1, 13, 541, 7033

Least Common Multiple of 7027 and 7033 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 7033, than apply into the LCM equation.

GCF(7027,7033) = 1
LCM(7027,7033) = ( 7027 × 7033) / 1
LCM(7027,7033) = 49420891 / 1
LCM(7027,7033) = 49420891

Properties of LCM 7027 and 7033

(i) The LCM of 7033 and 7027 is associative

LCM of 7027 and 7033 = LCM of 7033 and 7027

Related Least Common Multiples of 7027

Related Least Common Multiples of 7033

Frequently Asked Questions on LCM of 7027 and 7033

1. What is the LCM of 7027 and 7033?

Answer: LCM of 7027 and 7033 is 49420891.

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 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.

4. How to Find the LCM of 7027 and 7033?

Answer:

Least Common Multiple of 7027 and 7033 = 49420891

Step 1: Find the prime factorization of 7027

7027 = 7027

Step 2: Find the prime factorization of 7033

7033 = 13 x 541

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

LCM = 49420891 = 13 x 541 x 7027

Step 4: Therefore, the least common multiple of 7027 and 7033 is 49420891.