Least Common Multiple (LCM) of 170 and 167
The least common multiple (LCM) of 170 and 167 is 28390.
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 167?
First, calculate the GCD of 170 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 170 ÷ 167 = 1 remainder 3 |
| 2 | 167 ÷ 3 = 55 remainder 2 |
| 3 | 3 ÷ 2 = 1 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 148 and 182 | 13468 |
| 84 and 92 | 1932 |
| 162 and 94 | 7614 |
| 173 and 100 | 17300 |
| 43 and 32 | 1376 |