Least Common Multiple of 7020 and 7026

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 7026 the smallest integer that is 8220420 that is divisible by both numbers.

Least Common Multiple (LCM) of 7020 and 7026 is 8220420.

LCM(7020,7026) = 8220420

LCM of 7020 and 7026

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

LCM of:
and

Least Common Multiple of 7020 and 7026

LCM of 7020 and 7026 is 8220420

Least common multiple can be found by multiplying the highest exponent prime factors of 7020 and 7026. First we will calculate the prime factors of 7020 and 7026.

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 7026


2 7026
3 3513
1171 1171
1

Prime factors of 7026 are 2, 3,1171. Prime factorization of 7026 in exponential form is:

7026 = 21×31×11711

Now multiplying the highest exponent prime factors to calculate the LCM of 7020 and 7026.

LCM(7020,7026) = 22×33×51×131×11711
LCM(7020,7026) = 8220420

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 7026

List of positive integer factors of 7026 that divides 7026 without a remainder.

1, 2, 3, 6, 1171, 2342, 3513, 7026

Least Common Multiple of 7020 and 7026 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 7026, than apply into the LCM equation.

GCF(7020,7026) = 6
LCM(7020,7026) = ( 7020 × 7026) / 6
LCM(7020,7026) = 49322520 / 6
LCM(7020,7026) = 8220420

Properties of LCM 7020 and 7026

(i) The LCM of 7026 and 7020 is associative

LCM of 7020 and 7026 = LCM of 7026 and 7020

Related Least Common Multiples of 7020

Related Least Common Multiples of 7026

Frequently Asked Questions on LCM of 7020 and 7026

1. What is the LCM of 7020 and 7026?

Answer: LCM of 7020 and 7026 is 8220420.

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 7026?

Answer: Factors of 7026 are 1, 2, 3, 6, 1171, 2342, 3513, 7026. There are 8 integers that are factors of 7026. The greatest factor of 7026 is 7026.

4. How to Find the LCM of 7020 and 7026?

Answer:

Least Common Multiple of 7020 and 7026 = 8220420

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 7026

7026 = 2 x 3 x 1171

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

LCM = 8220420 = 2 x 2 x 3 x 3 x 3 x 5 x 13 x 1171

Step 4: Therefore, the least common multiple of 7020 and 7026 is 8220420.