Least Common Multiple of 8130 and 8136

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 8136 the smallest integer that is 11024280 that is divisible by both numbers.

Least Common Multiple (LCM) of 8130 and 8136 is 11024280.

LCM(8130,8136) = 11024280

LCM of 8130 and 8136

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

LCM of:
and

Least Common Multiple of 8130 and 8136

LCM of 8130 and 8136 is 11024280

Least common multiple can be found by multiplying the highest exponent prime factors of 8130 and 8136. First we will calculate the prime factors of 8130 and 8136.

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 8136


2 8136
2 4068
2 2034
3 1017
3 339
113 113
1

Prime factors of 8136 are 2, 3,113. Prime factorization of 8136 in exponential form is:

8136 = 23×32×1131

Now multiplying the highest exponent prime factors to calculate the LCM of 8130 and 8136.

LCM(8130,8136) = 23×32×51×1131×2711
LCM(8130,8136) = 11024280

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 8136

List of positive integer factors of 8136 that divides 8136 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136

Least Common Multiple of 8130 and 8136 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 8136, than apply into the LCM equation.

GCF(8130,8136) = 6
LCM(8130,8136) = ( 8130 × 8136) / 6
LCM(8130,8136) = 66145680 / 6
LCM(8130,8136) = 11024280

Properties of LCM 8130 and 8136

(i) The LCM of 8136 and 8130 is associative

LCM of 8130 and 8136 = LCM of 8136 and 8130

Related Least Common Multiples of 8130

Related Least Common Multiples of 8136

Frequently Asked Questions on LCM of 8130 and 8136

1. What is the LCM of 8130 and 8136?

Answer: LCM of 8130 and 8136 is 11024280.

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 8136?

Answer: Factors of 8136 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 113, 226, 339, 452, 678, 904, 1017, 1356, 2034, 2712, 4068, 8136. There are 24 integers that are factors of 8136. The greatest factor of 8136 is 8136.

4. How to Find the LCM of 8130 and 8136?

Answer:

Least Common Multiple of 8130 and 8136 = 11024280

Step 1: Find the prime factorization of 8130

8130 = 2 x 3 x 5 x 271

Step 2: Find the prime factorization of 8136

8136 = 2 x 2 x 2 x 3 x 3 x 113

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

LCM = 11024280 = 2 x 2 x 2 x 3 x 3 x 5 x 113 x 271

Step 4: Therefore, the least common multiple of 8130 and 8136 is 11024280.