Least Common Multiple (LCM) of 167 and 183
The least common multiple (LCM) of 167 and 183 is 30561.
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 167 and 183?
First, calculate the GCD of 167 and 183 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 167 ÷ 183 = 0 remainder 167 |
| 2 | 183 ÷ 167 = 1 remainder 16 |
| 3 | 167 ÷ 16 = 10 remainder 7 |
| 4 | 16 ÷ 7 = 2 remainder 2 |
| 5 | 7 ÷ 2 = 3 remainder 1 |
| 6 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 29 and 174 | 174 |
| 188 and 15 | 2820 |
| 41 and 167 | 6847 |
| 139 and 162 | 22518 |
| 144 and 57 | 2736 |