Least Common Multiple of 2142 and 2150

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 2150 the smallest integer that is 2302650 that is divisible by both numbers.

Least Common Multiple (LCM) of 2142 and 2150 is 2302650.

LCM(2142,2150) = 2302650

LCM of 2142 and 2150

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

LCM of:
and

Least Common Multiple of 2142 and 2150

LCM of 2142 and 2150 is 2302650

Least common multiple can be found by multiplying the highest exponent prime factors of 2142 and 2150. First we will calculate the prime factors of 2142 and 2150.

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 2150


2 2150
5 1075
5 215
43 43
1

Prime factors of 2150 are 2, 5,43. Prime factorization of 2150 in exponential form is:

2150 = 21×52×431

Now multiplying the highest exponent prime factors to calculate the LCM of 2142 and 2150.

LCM(2142,2150) = 21×32×52×71×171×431
LCM(2142,2150) = 2302650

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 2150

List of positive integer factors of 2150 that divides 2150 without a remainder.

1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150

Least Common Multiple of 2142 and 2150 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 2150, than apply into the LCM equation.

GCF(2142,2150) = 2
LCM(2142,2150) = ( 2142 × 2150) / 2
LCM(2142,2150) = 4605300 / 2
LCM(2142,2150) = 2302650

Properties of LCM 2142 and 2150

(i) The LCM of 2150 and 2142 is associative

LCM of 2142 and 2150 = LCM of 2150 and 2142

Related Least Common Multiples of 2142

Related Least Common Multiples of 2150

Frequently Asked Questions on LCM of 2142 and 2150

1. What is the LCM of 2142 and 2150?

Answer: LCM of 2142 and 2150 is 2302650.

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 2150?

Answer: Factors of 2150 are 1, 2, 5, 10, 25, 43, 50, 86, 215, 430, 1075, 2150. There are 12 integers that are factors of 2150. The greatest factor of 2150 is 2150.

4. How to Find the LCM of 2142 and 2150?

Answer:

Least Common Multiple of 2142 and 2150 = 2302650

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 2150

2150 = 2 x 5 x 5 x 43

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

LCM = 2302650 = 2 x 3 x 3 x 5 x 5 x 7 x 17 x 43

Step 4: Therefore, the least common multiple of 2142 and 2150 is 2302650.