Least Common Multiple (LCM) of 142 and 16
The least common multiple (LCM) of 142 and 16 is 1136.
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 16?
First, calculate the GCD of 142 and 16 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 142 ÷ 16 = 8 remainder 14 |
| 2 | 16 ÷ 14 = 1 remainder 2 |
| 3 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 180 and 196 | 8820 |
| 112 and 25 | 2800 |
| 88 and 67 | 5896 |
| 168 and 62 | 5208 |
| 46 and 177 | 8142 |