Least Common Multiple of 2142 and 2143

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 2143 the smallest integer that is 4590306 that is divisible by both numbers.

Least Common Multiple (LCM) of 2142 and 2143 is 4590306.

LCM(2142,2143) = 4590306

LCM of 2142 and 2143

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

LCM of:
and

Least Common Multiple of 2142 and 2143

LCM of 2142 and 2143 is 4590306

Least common multiple can be found by multiplying the highest exponent prime factors of 2142 and 2143. First we will calculate the prime factors of 2142 and 2143.

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 2143


2143 2143
1

Prime factors of 2143 are 2143. Prime factorization of 2143 in exponential form is:

2143 = 21431

Now multiplying the highest exponent prime factors to calculate the LCM of 2142 and 2143.

LCM(2142,2143) = 21×32×71×171×21431
LCM(2142,2143) = 4590306

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 2143

List of positive integer factors of 2143 that divides 2143 without a remainder.

1, 2143

Least Common Multiple of 2142 and 2143 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 2143, than apply into the LCM equation.

GCF(2142,2143) = 1
LCM(2142,2143) = ( 2142 × 2143) / 1
LCM(2142,2143) = 4590306 / 1
LCM(2142,2143) = 4590306

Properties of LCM 2142 and 2143

(i) The LCM of 2143 and 2142 is associative

LCM of 2142 and 2143 = LCM of 2143 and 2142

Related Least Common Multiples of 2142

Related Least Common Multiples of 2143

Frequently Asked Questions on LCM of 2142 and 2143

1. What is the LCM of 2142 and 2143?

Answer: LCM of 2142 and 2143 is 4590306.

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 2143?

Answer: Factors of 2143 are 1, 2143. There are 2 integers that are factors of 2143. The greatest factor of 2143 is 2143.

4. How to Find the LCM of 2142 and 2143?

Answer:

Least Common Multiple of 2142 and 2143 = 4590306

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 2143

2143 = 2143

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

LCM = 4590306 = 2 x 3 x 3 x 7 x 17 x 2143

Step 4: Therefore, the least common multiple of 2142 and 2143 is 4590306.