Least Common Multiple of 8136 and 8142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8136 and 8142 the smallest integer that is 11040552 that is divisible by both numbers.

Least Common Multiple (LCM) of 8136 and 8142 is 11040552.

LCM(8136,8142) = 11040552

LCM of 8136 and 8142

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

LCM of:
and

Least Common Multiple of 8136 and 8142

LCM of 8136 and 8142 is 11040552

Least common multiple can be found by multiplying the highest exponent prime factors of 8136 and 8142. First we will calculate the prime factors of 8136 and 8142.

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

Prime Factorization of 8142


2 8142
3 4071
23 1357
59 59
1

Prime factors of 8142 are 2, 3, 23,59. Prime factorization of 8142 in exponential form is:

8142 = 21×31×231×591

Now multiplying the highest exponent prime factors to calculate the LCM of 8136 and 8142.

LCM(8136,8142) = 23×32×231×591×1131
LCM(8136,8142) = 11040552

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

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142

Least Common Multiple of 8136 and 8142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8136 and 8142, than apply into the LCM equation.

GCF(8136,8142) = 6
LCM(8136,8142) = ( 8136 × 8142) / 6
LCM(8136,8142) = 66243312 / 6
LCM(8136,8142) = 11040552

Properties of LCM 8136 and 8142

(i) The LCM of 8142 and 8136 is associative

LCM of 8136 and 8142 = LCM of 8142 and 8136

Related Least Common Multiples of 8136

Related Least Common Multiples of 8142

Frequently Asked Questions on LCM of 8136 and 8142

1. What is the LCM of 8136 and 8142?

Answer: LCM of 8136 and 8142 is 11040552.

2. 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.

3. What are the Factors of 8142?

Answer: Factors of 8142 are 1, 2, 3, 6, 23, 46, 59, 69, 118, 138, 177, 354, 1357, 2714, 4071, 8142. There are 16 integers that are factors of 8142. The greatest factor of 8142 is 8142.

4. How to Find the LCM of 8136 and 8142?

Answer:

Least Common Multiple of 8136 and 8142 = 11040552

Step 1: Find the prime factorization of 8136

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

Step 2: Find the prime factorization of 8142

8142 = 2 x 3 x 23 x 59

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

LCM = 11040552 = 2 x 2 x 2 x 3 x 3 x 23 x 59 x 113

Step 4: Therefore, the least common multiple of 8136 and 8142 is 11040552.