Least Common Multiple (LCM) of 142 and 24
The least common multiple (LCM) of 142 and 24 is 1704.
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 24?
First, calculate the GCD of 142 and 24 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 24 = 5 remainder 22 |
| 2 | 24 ÷ 22 = 1 remainder 2 |
| 3 | 22 ÷ 2 = 11 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 105 and 45 | 315 |
| 97 and 49 | 4753 |
| 159 and 26 | 4134 |
| 16 and 151 | 2416 |
| 199 and 191 | 38009 |