Least Common Multiple of 142 and 150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Free LCM Calculator determines the least common multiple (LCM) between 142 and 150 the smallest integer that is 10650 that is divisible by both numbers.

Least Common Multiple (LCM) of 142 and 150 is 10650.

LCM(142,150) = 10650

LCM of 142 and 150

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

LCM of:
and

Least Common Multiple of 142 and 150

LCM of 142 and 150 is 10650

Least common multiple can be found by multiplying the highest exponent prime factors of 142 and 150. First we will calculate the prime factors of 142 and 150.

Prime Factorization of 142


2 142
71 71
1

Prime factors of 142 are 2,71. Prime factorization of 142 in exponential form is:

142 = 21×711

Prime Factorization of 150


2 150
3 75
5 25
5 5
1

Prime factors of 150 are 2, 3,5. Prime factorization of 150 in exponential form is:

150 = 21×31×52

Now multiplying the highest exponent prime factors to calculate the LCM of 142 and 150.

LCM(142,150) = 21×31×52×711
LCM(142,150) = 10650

Factors of 142

List of positive integer factors of 142 that divides 142 without a remainder.

1, 2, 71, 142

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

Least Common Multiple of 142 and 150 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 142 and 150, than apply into the LCM equation.

GCF(142,150) = 2
LCM(142,150) = ( 142 × 150) / 2
LCM(142,150) = 21300 / 2
LCM(142,150) = 10650

Properties of LCM 142 and 150

(i) The LCM of 150 and 142 is associative

LCM of 142 and 150 = LCM of 150 and 142

Frequently Asked Questions on LCM of 142 and 150

1. What is the LCM of 142 and 150?

Answer: LCM of 142 and 150 is 10650.

2. What are the Factors of 142?

Answer: Factors of 142 are 1, 2, 71, 142. There are 4 integers that are factors of 142. The greatest factor of 142 is 142.

3. What are the Factors of 150?

Answer: Factors of 150 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150. There are 12 integers that are factors of 150. The greatest factor of 150 is 150.

4. How to Find the LCM of 142 and 150?

Answer:

Least Common Multiple of 142 and 150 = 10650

Step 1: Find the prime factorization of 142

142 = 2 x 71

Step 2: Find the prime factorization of 150

150 = 2 x 3 x 5 x 5

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

LCM = 10650 = 2 x 3 x 5 x 5 x 71

Step 4: Therefore, the least common multiple of 142 and 150 is 10650.