Least Common Multiple of 8142 and 8148

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 8148 the smallest integer that is 11056836 that is divisible by both numbers.

Least Common Multiple (LCM) of 8142 and 8148 is 11056836.

LCM(8142,8148) = 11056836

LCM of 8142 and 8148

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

LCM of:
and

Least Common Multiple of 8142 and 8148

LCM of 8142 and 8148 is 11056836

Least common multiple can be found by multiplying the highest exponent prime factors of 8142 and 8148. First we will calculate the prime factors of 8142 and 8148.

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 8148


2 8148
2 4074
3 2037
7 679
97 97
1

Prime factors of 8148 are 2, 3, 7,97. Prime factorization of 8148 in exponential form is:

8148 = 22×31×71×971

Now multiplying the highest exponent prime factors to calculate the LCM of 8142 and 8148.

LCM(8142,8148) = 22×31×71×231×591×971
LCM(8142,8148) = 11056836

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 8148

List of positive integer factors of 8148 that divides 8148 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148

Least Common Multiple of 8142 and 8148 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 8148, than apply into the LCM equation.

GCF(8142,8148) = 6
LCM(8142,8148) = ( 8142 × 8148) / 6
LCM(8142,8148) = 66341016 / 6
LCM(8142,8148) = 11056836

Properties of LCM 8142 and 8148

(i) The LCM of 8148 and 8142 is associative

LCM of 8142 and 8148 = LCM of 8148 and 8142

Related Least Common Multiples of 8142

Related Least Common Multiples of 8148

Frequently Asked Questions on LCM of 8142 and 8148

1. What is the LCM of 8142 and 8148?

Answer: LCM of 8142 and 8148 is 11056836.

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 8148?

Answer: Factors of 8148 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 97, 194, 291, 388, 582, 679, 1164, 1358, 2037, 2716, 4074, 8148. There are 24 integers that are factors of 8148. The greatest factor of 8148 is 8148.

4. How to Find the LCM of 8142 and 8148?

Answer:

Least Common Multiple of 8142 and 8148 = 11056836

Step 1: Find the prime factorization of 8142

8142 = 2 x 3 x 23 x 59

Step 2: Find the prime factorization of 8148

8148 = 2 x 2 x 3 x 7 x 97

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

LCM = 11056836 = 2 x 2 x 3 x 7 x 23 x 59 x 97

Step 4: Therefore, the least common multiple of 8142 and 8148 is 11056836.