Least Common Multiple of 143 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 143 and 150 the smallest integer that is 21450 that is divisible by both numbers.
Least Common Multiple (LCM) of 143 and 150 is 21450.
LCM(143,150) = 21450
LCM of 143 and 150
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 143 and 150 by Prime method
- Least Common Multiple of 143 and 150 with GCF Formula
LCM of 143 and 150 is 21450
Least common multiple can be found by multiplying the highest exponent prime factors of 143 and 150. First we will calculate the prime factors of 143 and 150.
Prime Factorization of 143
| 11 | 143 |
| 13 | 13 |
| 1 |
Prime factors of 143 are 11,13. Prime factorization of 143 in exponential form is:
143 = 111×131
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 143 and 150.
LCM(143,150) = 21×31×52×111×131
LCM(143,150) = 21450
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1, 11, 13, 143
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 143 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 143 and 150, than apply into the LCM equation.
GCF(143,150) = 1
LCM(143,150) = ( 143 × 150) / 1
LCM(143,150) = 21450 / 1
LCM(143,150) = 21450
Properties of LCM 143 and 150
(i) The LCM of 150 and 143 is associative
LCM of 143 and 150 = LCM of 150 and 143
Related Least Common Multiples of 143
Related Least Common Multiples of 150
Frequently Asked Questions on LCM of 143 and 150
1. What is the LCM of 143 and 150?
Answer: LCM of 143 and 150 is 21450.
2. What are the Factors of 143?
Answer: Factors of 143 are 1, 11, 13, 143. There are 4 integers that are factors of 143. The greatest factor of 143 is 143.
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 143 and 150?
Answer:
Least Common Multiple of 143 and 150 = 21450
Step 1: Find the prime factorization of 143
143 = 11 x 13
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 = 21450 = 2 x 3 x 5 x 5 x 11 x 13
Step 4: Therefore, the least common multiple of 143 and 150 is 21450.