Least Common Multiple (LCM) of 142 and 168
The least common multiple (LCM) of 142 and 168 is 11928.
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 168?
First, calculate the GCD of 142 and 168 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 168 = 0 remainder 142 |
| 2 | 168 ÷ 142 = 1 remainder 26 |
| 3 | 142 ÷ 26 = 5 remainder 12 |
| 4 | 26 ÷ 12 = 2 remainder 2 |
| 5 | 12 ÷ 2 = 6 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 154 and 157 | 24178 |
| 105 and 138 | 4830 |
| 82 and 16 | 656 |
| 138 and 32 | 2208 |
| 175 and 194 | 33950 |