Least Common Multiple of 7020 and 7027

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7020 and 7027 the smallest integer that is 49329540 that is divisible by both numbers.

Least Common Multiple (LCM) of 7020 and 7027 is 49329540.

LCM(7020,7027) = 49329540

LCM of 7020 and 7027

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

LCM of:
and

Least Common Multiple of 7020 and 7027

LCM of 7020 and 7027 is 49329540

Least common multiple can be found by multiplying the highest exponent prime factors of 7020 and 7027. First we will calculate the prime factors of 7020 and 7027.

Prime Factorization of 7020


2 7020
2 3510
3 1755
3 585
3 195
5 65
13 13
1

Prime factors of 7020 are 2, 3, 5,13. Prime factorization of 7020 in exponential form is:

7020 = 22×33×51×131

Prime Factorization of 7027


7027 7027
1

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

7027 = 70271

Now multiplying the highest exponent prime factors to calculate the LCM of 7020 and 7027.

LCM(7020,7027) = 22×33×51×131×70271
LCM(7020,7027) = 49329540

Factors of 7020

List of positive integer factors of 7020 that divides 7020 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020

Factors of 7027

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

1, 7027

Least Common Multiple of 7020 and 7027 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7020 and 7027, than apply into the LCM equation.

GCF(7020,7027) = 1
LCM(7020,7027) = ( 7020 × 7027) / 1
LCM(7020,7027) = 49329540 / 1
LCM(7020,7027) = 49329540

Properties of LCM 7020 and 7027

(i) The LCM of 7027 and 7020 is associative

LCM of 7020 and 7027 = LCM of 7027 and 7020

Related Least Common Multiples of 7020

Related Least Common Multiples of 7027

Frequently Asked Questions on LCM of 7020 and 7027

1. What is the LCM of 7020 and 7027?

Answer: LCM of 7020 and 7027 is 49329540.

2. What are the Factors of 7020?

Answer: Factors of 7020 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 18, 20, 26, 27, 30, 36, 39, 45, 52, 54, 60, 65, 78, 90, 108, 117, 130, 135, 156, 180, 195, 234, 260, 270, 351, 390, 468, 540, 585, 702, 780, 1170, 1404, 1755, 2340, 3510, 7020. There are 48 integers that are factors of 7020. The greatest factor of 7020 is 7020.

3. 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.

4. How to Find the LCM of 7020 and 7027?

Answer:

Least Common Multiple of 7020 and 7027 = 49329540

Step 1: Find the prime factorization of 7020

7020 = 2 x 2 x 3 x 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 7027

7027 = 7027

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

LCM = 49329540 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 7027

Step 4: Therefore, the least common multiple of 7020 and 7027 is 49329540.