Least Common Multiple of 2142 and 2146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 2142 and 2146 the smallest integer that is 2298366 that is divisible by both numbers.

Least Common Multiple (LCM) of 2142 and 2146 is 2298366.

LCM(2142,2146) = 2298366

LCM of 2142 and 2146

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

LCM of:
and

Least Common Multiple of 2142 and 2146

LCM of 2142 and 2146 is 2298366

Least common multiple can be found by multiplying the highest exponent prime factors of 2142 and 2146. First we will calculate the prime factors of 2142 and 2146.

Prime Factorization of 2142


2 2142
3 1071
3 357
7 119
17 17
1

Prime factors of 2142 are 2, 3, 7,17. Prime factorization of 2142 in exponential form is:

2142 = 21×32×71×171

Prime Factorization of 2146


2 2146
29 1073
37 37
1

Prime factors of 2146 are 2, 29,37. Prime factorization of 2146 in exponential form is:

2146 = 21×291×371

Now multiplying the highest exponent prime factors to calculate the LCM of 2142 and 2146.

LCM(2142,2146) = 21×32×71×171×291×371
LCM(2142,2146) = 2298366

Factors of 2142

List of positive integer factors of 2142 that divides 2142 without a remainder.

1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142

Factors of 2146

List of positive integer factors of 2146 that divides 2146 without a remainder.

1, 2, 29, 37, 58, 74, 1073, 2146

Least Common Multiple of 2142 and 2146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2142 and 2146, than apply into the LCM equation.

GCF(2142,2146) = 2
LCM(2142,2146) = ( 2142 × 2146) / 2
LCM(2142,2146) = 4596732 / 2
LCM(2142,2146) = 2298366

Properties of LCM 2142 and 2146

(i) The LCM of 2146 and 2142 is associative

LCM of 2142 and 2146 = LCM of 2146 and 2142

Related Least Common Multiples of 2142

Related Least Common Multiples of 2146

Frequently Asked Questions on LCM of 2142 and 2146

1. What is the LCM of 2142 and 2146?

Answer: LCM of 2142 and 2146 is 2298366.

2. What are the Factors of 2142?

Answer: Factors of 2142 are 1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 34, 42, 51, 63, 102, 119, 126, 153, 238, 306, 357, 714, 1071, 2142. There are 24 integers that are factors of 2142. The greatest factor of 2142 is 2142.

3. What are the Factors of 2146?

Answer: Factors of 2146 are 1, 2, 29, 37, 58, 74, 1073, 2146. There are 8 integers that are factors of 2146. The greatest factor of 2146 is 2146.

4. How to Find the LCM of 2142 and 2146?

Answer:

Least Common Multiple of 2142 and 2146 = 2298366

Step 1: Find the prime factorization of 2142

2142 = 2 x 3 x 3 x 7 x 17

Step 2: Find the prime factorization of 2146

2146 = 2 x 29 x 37

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

LCM = 2298366 = 2 x 3 x 3 x 7 x 17 x 29 x 37

Step 4: Therefore, the least common multiple of 2142 and 2146 is 2298366.