Least Common Multiple of 6141 and 6142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6141 and 6142 the smallest integer that is 37718022 that is divisible by both numbers.

Least Common Multiple (LCM) of 6141 and 6142 is 37718022.

LCM(6141,6142) = 37718022

LCM of 6141 and 6142

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

LCM of:
and

Least Common Multiple of 6141 and 6142

LCM of 6141 and 6142 is 37718022

Least common multiple can be found by multiplying the highest exponent prime factors of 6141 and 6142. First we will calculate the prime factors of 6141 and 6142.

Prime Factorization of 6141


3 6141
23 2047
89 89
1

Prime factors of 6141 are 3, 23,89. Prime factorization of 6141 in exponential form is:

6141 = 31×231×891

Prime Factorization of 6142


2 6142
37 3071
83 83
1

Prime factors of 6142 are 2, 37,83. Prime factorization of 6142 in exponential form is:

6142 = 21×371×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6141 and 6142.

LCM(6141,6142) = 21×31×231×371×831×891
LCM(6141,6142) = 37718022

Factors of 6141

List of positive integer factors of 6141 that divides 6141 without a remainder.

1, 3, 23, 69, 89, 267, 2047, 6141

Factors of 6142

List of positive integer factors of 6142 that divides 6142 without a remainder.

1, 2, 37, 74, 83, 166, 3071, 6142

Least Common Multiple of 6141 and 6142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6141 and 6142, than apply into the LCM equation.

GCF(6141,6142) = 1
LCM(6141,6142) = ( 6141 × 6142) / 1
LCM(6141,6142) = 37718022 / 1
LCM(6141,6142) = 37718022

Properties of LCM 6141 and 6142

(i) The LCM of 6142 and 6141 is associative

LCM of 6141 and 6142 = LCM of 6142 and 6141

Related Least Common Multiples of 6141

Related Least Common Multiples of 6142

Frequently Asked Questions on LCM of 6141 and 6142

1. What is the LCM of 6141 and 6142?

Answer: LCM of 6141 and 6142 is 37718022.

2. What are the Factors of 6141?

Answer: Factors of 6141 are 1, 3, 23, 69, 89, 267, 2047, 6141. There are 8 integers that are factors of 6141. The greatest factor of 6141 is 6141.

3. What are the Factors of 6142?

Answer: Factors of 6142 are 1, 2, 37, 74, 83, 166, 3071, 6142. There are 8 integers that are factors of 6142. The greatest factor of 6142 is 6142.

4. How to Find the LCM of 6141 and 6142?

Answer:

Least Common Multiple of 6141 and 6142 = 37718022

Step 1: Find the prime factorization of 6141

6141 = 3 x 23 x 89

Step 2: Find the prime factorization of 6142

6142 = 2 x 37 x 83

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

LCM = 37718022 = 2 x 3 x 23 x 37 x 83 x 89

Step 4: Therefore, the least common multiple of 6141 and 6142 is 37718022.