Least Common Multiple (LCM) of 142 and 133
The least common multiple (LCM) of 142 and 133 is 18886.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 142 and 133?
First, calculate the GCD of 142 and 133 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 133 = 1 remainder 9 |
| 2 | 133 ÷ 9 = 14 remainder 7 |
| 3 | 9 ÷ 7 = 1 remainder 2 |
| 4 | 7 ÷ 2 = 3 remainder 1 |
| 5 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 143 and 111 | 15873 |
| 24 and 159 | 1272 |
| 162 and 172 | 13932 |
| 175 and 197 | 34475 |
| 85 and 70 | 1190 |