Least Common Multiple (LCM) of 170 and 142
The least common multiple (LCM) of 170 and 142 is 12070.
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 170 and 142?
First, calculate the GCD of 170 and 142 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 142 = 1 remainder 28 |
| 2 | 142 ÷ 28 = 5 remainder 2 |
| 3 | 28 ÷ 2 = 14 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 20 and 84 | 420 |
| 187 and 171 | 31977 |
| 123 and 96 | 3936 |
| 69 and 167 | 11523 |
| 114 and 159 | 6042 |