Least Common Multiple (LCM) of 146 and 167
The least common multiple (LCM) of 146 and 167 is 24382.
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 146 and 167?
First, calculate the GCD of 146 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 146 ÷ 167 = 0 remainder 146 |
| 2 | 167 ÷ 146 = 1 remainder 21 |
| 3 | 146 ÷ 21 = 6 remainder 20 |
| 4 | 21 ÷ 20 = 1 remainder 1 |
| 5 | 20 ÷ 1 = 20 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 48 and 90 | 720 |
| 197 and 10 | 1970 |
| 110 and 97 | 10670 |
| 156 and 150 | 3900 |
| 56 and 150 | 4200 |