Least Common Multiple of 8126 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 8126 and 8130 the smallest integer that is 33032190 that is divisible by both numbers.

Least Common Multiple (LCM) of 8126 and 8130 is 33032190.

LCM(8126,8130) = 33032190

LCM of 8126 and 8130

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

LCM of:
and

Least Common Multiple of 8126 and 8130

LCM of 8126 and 8130 is 33032190

Least common multiple can be found by multiplying the highest exponent prime factors of 8126 and 8130. First we will calculate the prime factors of 8126 and 8130.

Prime Factorization of 8126


2 8126
17 4063
239 239
1

Prime factors of 8126 are 2, 17,239. Prime factorization of 8126 in exponential form is:

8126 = 21×171×2391

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 8126 and 8130.

LCM(8126,8130) = 21×31×51×171×2391×2711
LCM(8126,8130) = 33032190

Factors of 8126

List of positive integer factors of 8126 that divides 8126 without a remainder.

1, 2, 17, 34, 239, 478, 4063, 8126

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 8126 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 8126 and 8130, than apply into the LCM equation.

GCF(8126,8130) = 2
LCM(8126,8130) = ( 8126 × 8130) / 2
LCM(8126,8130) = 66064380 / 2
LCM(8126,8130) = 33032190

Properties of LCM 8126 and 8130

(i) The LCM of 8130 and 8126 is associative

LCM of 8126 and 8130 = LCM of 8130 and 8126

Related Least Common Multiples of 8126

Related Least Common Multiples of 8130

Frequently Asked Questions on LCM of 8126 and 8130

1. What is the LCM of 8126 and 8130?

Answer: LCM of 8126 and 8130 is 33032190.

2. What are the Factors of 8126?

Answer: Factors of 8126 are 1, 2, 17, 34, 239, 478, 4063, 8126. There are 8 integers that are factors of 8126. The greatest factor of 8126 is 8126.

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 8126 and 8130?

Answer:

Least Common Multiple of 8126 and 8130 = 33032190

Step 1: Find the prime factorization of 8126

8126 = 2 x 17 x 239

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 = 33032190 = 2 x 3 x 5 x 17 x 239 x 271

Step 4: Therefore, the least common multiple of 8126 and 8130 is 33032190.