Least Common Multiple (LCM) of 16 and 142
The least common multiple (LCM) of 16 and 142 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 16 and 142?
First, calculate the GCD of 16 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 16 ÷ 142 = 0 remainder 16 |
| 2 | 142 ÷ 16 = 8 remainder 14 |
| 3 | 16 ÷ 14 = 1 remainder 2 |
| 4 | 14 ÷ 2 = 7 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 149 and 166 | 24734 |
| 107 and 106 | 11342 |
| 171 and 67 | 11457 |
| 119 and 89 | 10591 |
| 122 and 56 | 3416 |