Least Common Multiple of 8130 and 8138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8130 and 8138 the smallest integer that is 33080970 that is divisible by both numbers.

Least Common Multiple (LCM) of 8130 and 8138 is 33080970.

LCM(8130,8138) = 33080970

LCM of 8130 and 8138

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

LCM of:
and

Least Common Multiple of 8130 and 8138

LCM of 8130 and 8138 is 33080970

Least common multiple can be found by multiplying the highest exponent prime factors of 8130 and 8138. First we will calculate the prime factors of 8130 and 8138.

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

Prime Factorization of 8138


2 8138
13 4069
313 313
1

Prime factors of 8138 are 2, 13,313. Prime factorization of 8138 in exponential form is:

8138 = 21×131×3131

Now multiplying the highest exponent prime factors to calculate the LCM of 8130 and 8138.

LCM(8130,8138) = 21×31×51×131×2711×3131
LCM(8130,8138) = 33080970

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

Factors of 8138

List of positive integer factors of 8138 that divides 8138 without a remainder.

1, 2, 13, 26, 313, 626, 4069, 8138

Least Common Multiple of 8130 and 8138 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8130 and 8138, than apply into the LCM equation.

GCF(8130,8138) = 2
LCM(8130,8138) = ( 8130 × 8138) / 2
LCM(8130,8138) = 66161940 / 2
LCM(8130,8138) = 33080970

Properties of LCM 8130 and 8138

(i) The LCM of 8138 and 8130 is associative

LCM of 8130 and 8138 = LCM of 8138 and 8130

Related Least Common Multiples of 8130

Related Least Common Multiples of 8138

Frequently Asked Questions on LCM of 8130 and 8138

1. What is the LCM of 8130 and 8138?

Answer: LCM of 8130 and 8138 is 33080970.

2. 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.

3. What are the Factors of 8138?

Answer: Factors of 8138 are 1, 2, 13, 26, 313, 626, 4069, 8138. There are 8 integers that are factors of 8138. The greatest factor of 8138 is 8138.

4. How to Find the LCM of 8130 and 8138?

Answer:

Least Common Multiple of 8130 and 8138 = 33080970

Step 1: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

Step 2: Find the prime factorization of 8138

8138 = 2 x 13 x 313

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

LCM = 33080970 = 2 x 3 x 5 x 13 x 271 x 313

Step 4: Therefore, the least common multiple of 8130 and 8138 is 33080970.