Least Common Multiple of 8142 and 8144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8142 and 8144 the smallest integer that is 33154224 that is divisible by both numbers.

Least Common Multiple (LCM) of 8142 and 8144 is 33154224.

LCM(8142,8144) = 33154224

LCM of 8142 and 8144

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

LCM of:
and

Least Common Multiple of 8142 and 8144

LCM of 8142 and 8144 is 33154224

Least common multiple can be found by multiplying the highest exponent prime factors of 8142 and 8144. First we will calculate the prime factors of 8142 and 8144.

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

Prime Factorization of 8144


2 8144
2 4072
2 2036
2 1018
509 509
1

Prime factors of 8144 are 2,509. Prime factorization of 8144 in exponential form is:

8144 = 24×5091

Now multiplying the highest exponent prime factors to calculate the LCM of 8142 and 8144.

LCM(8142,8144) = 24×31×231×591×5091
LCM(8142,8144) = 33154224

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

Factors of 8144

List of positive integer factors of 8144 that divides 8144 without a remainder.

1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144

Least Common Multiple of 8142 and 8144 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8142 and 8144, than apply into the LCM equation.

GCF(8142,8144) = 2
LCM(8142,8144) = ( 8142 × 8144) / 2
LCM(8142,8144) = 66308448 / 2
LCM(8142,8144) = 33154224

Properties of LCM 8142 and 8144

(i) The LCM of 8144 and 8142 is associative

LCM of 8142 and 8144 = LCM of 8144 and 8142

Related Least Common Multiples of 8142

Related Least Common Multiples of 8144

Frequently Asked Questions on LCM of 8142 and 8144

1. What is the LCM of 8142 and 8144?

Answer: LCM of 8142 and 8144 is 33154224.

2. 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.

3. What are the Factors of 8144?

Answer: Factors of 8144 are 1, 2, 4, 8, 16, 509, 1018, 2036, 4072, 8144. There are 10 integers that are factors of 8144. The greatest factor of 8144 is 8144.

4. How to Find the LCM of 8142 and 8144?

Answer:

Least Common Multiple of 8142 and 8144 = 33154224

Step 1: Find the prime factorization of 8142

8142 = 2 x 3 x 23 x 59

Step 2: Find the prime factorization of 8144

8144 = 2 x 2 x 2 x 2 x 509

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

LCM = 33154224 = 2 x 2 x 2 x 2 x 3 x 23 x 59 x 509

Step 4: Therefore, the least common multiple of 8142 and 8144 is 33154224.