Least Common Multiple of 7012 and 7020

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 7012 and 7020 the smallest integer that is 12306060 that is divisible by both numbers.

Least Common Multiple (LCM) of 7012 and 7020 is 12306060.

LCM(7012,7020) = 12306060

LCM of 7012 and 7020

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

LCM of:
and

Least Common Multiple of 7012 and 7020

LCM of 7012 and 7020 is 12306060

Least common multiple can be found by multiplying the highest exponent prime factors of 7012 and 7020. First we will calculate the prime factors of 7012 and 7020.

Prime Factorization of 7012


2 7012
2 3506
1753 1753
1

Prime factors of 7012 are 2,1753. Prime factorization of 7012 in exponential form is:

7012 = 22×17531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 7012 and 7020.

LCM(7012,7020) = 22×33×51×131×17531
LCM(7012,7020) = 12306060

Factors of 7012

List of positive integer factors of 7012 that divides 7012 without a remainder.

1, 2, 4, 1753, 3506, 7012

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

Least Common Multiple of 7012 and 7020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7012 and 7020, than apply into the LCM equation.

GCF(7012,7020) = 4
LCM(7012,7020) = ( 7012 × 7020) / 4
LCM(7012,7020) = 49224240 / 4
LCM(7012,7020) = 12306060

Properties of LCM 7012 and 7020

(i) The LCM of 7020 and 7012 is associative

LCM of 7012 and 7020 = LCM of 7020 and 7012

Related Least Common Multiples of 7012

Related Least Common Multiples of 7020

Frequently Asked Questions on LCM of 7012 and 7020

1. What is the LCM of 7012 and 7020?

Answer: LCM of 7012 and 7020 is 12306060.

2. What are the Factors of 7012?

Answer: Factors of 7012 are 1, 2, 4, 1753, 3506, 7012. There are 6 integers that are factors of 7012. The greatest factor of 7012 is 7012.

3. 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.

4. How to Find the LCM of 7012 and 7020?

Answer:

Least Common Multiple of 7012 and 7020 = 12306060

Step 1: Find the prime factorization of 7012

7012 = 2 x 2 x 1753

Step 2: Find the prime factorization of 7020

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

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

LCM = 12306060 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 1753

Step 4: Therefore, the least common multiple of 7012 and 7020 is 12306060.