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;
- Least Common Multiple of 142 and 150 by Prime method
- Least Common Multiple of 142 and 150 with GCF Formula
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
Related Least Common Multiples of 142
Related Least Common Multiples of 150
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.