Least Common Multiple (LCM) of 182 and 167
The least common multiple (LCM) of 182 and 167 is 30394.
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 182 and 167?
First, calculate the GCD of 182 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 182 ÷ 167 = 1 remainder 15 |
| 2 | 167 ÷ 15 = 11 remainder 2 |
| 3 | 15 ÷ 2 = 7 remainder 1 |
| 4 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 14 and 165 | 2310 |
| 109 and 156 | 17004 |
| 83 and 148 | 12284 |
| 120 and 105 | 840 |
| 27 and 10 | 270 |