Least Common Multiple of 8124 and 8130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8124 and 8130 the smallest integer that is 11008020 that is divisible by both numbers.

Least Common Multiple (LCM) of 8124 and 8130 is 11008020.

LCM(8124,8130) = 11008020

LCM of 8124 and 8130

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

LCM of:
and

Least Common Multiple of 8124 and 8130

LCM of 8124 and 8130 is 11008020

Least common multiple can be found by multiplying the highest exponent prime factors of 8124 and 8130. First we will calculate the prime factors of 8124 and 8130.

Prime Factorization of 8124


2 8124
2 4062
3 2031
677 677
1

Prime factors of 8124 are 2, 3,677. Prime factorization of 8124 in exponential form is:

8124 = 22×31×6771

Prime Factorization of 8130


2 8130
3 4065
5 1355
271 271
1

Prime factors of 8130 are 2, 3, 5,271. Prime factorization of 8130 in exponential form is:

8130 = 21×31×51×2711

Now multiplying the highest exponent prime factors to calculate the LCM of 8124 and 8130.

LCM(8124,8130) = 22×31×51×2711×6771
LCM(8124,8130) = 11008020

Factors of 8124

List of positive integer factors of 8124 that divides 8124 without a remainder.

1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124

Factors of 8130

List of positive integer factors of 8130 that divides 8130 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130

Least Common Multiple of 8124 and 8130 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8124 and 8130, than apply into the LCM equation.

GCF(8124,8130) = 6
LCM(8124,8130) = ( 8124 × 8130) / 6
LCM(8124,8130) = 66048120 / 6
LCM(8124,8130) = 11008020

Properties of LCM 8124 and 8130

(i) The LCM of 8130 and 8124 is associative

LCM of 8124 and 8130 = LCM of 8130 and 8124

Related Least Common Multiples of 8124

Related Least Common Multiples of 8130

Frequently Asked Questions on LCM of 8124 and 8130

1. What is the LCM of 8124 and 8130?

Answer: LCM of 8124 and 8130 is 11008020.

2. What are the Factors of 8124?

Answer: Factors of 8124 are 1, 2, 3, 4, 6, 12, 677, 1354, 2031, 2708, 4062, 8124. There are 12 integers that are factors of 8124. The greatest factor of 8124 is 8124.

3. What are the Factors of 8130?

Answer: Factors of 8130 are 1, 2, 3, 5, 6, 10, 15, 30, 271, 542, 813, 1355, 1626, 2710, 4065, 8130. There are 16 integers that are factors of 8130. The greatest factor of 8130 is 8130.

4. How to Find the LCM of 8124 and 8130?

Answer:

Least Common Multiple of 8124 and 8130 = 11008020

Step 1: Find the prime factorization of 8124

8124 = 2 x 2 x 3 x 677

Step 2: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

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

LCM = 11008020 = 2 x 2 x 3 x 5 x 271 x 677

Step 4: Therefore, the least common multiple of 8124 and 8130 is 11008020.