Least Common Multiple (LCM) of 149 and 167
The least common multiple (LCM) of 149 and 167 is 24883.
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 149 and 167?
First, calculate the GCD of 149 and 167 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 149 ÷ 167 = 0 remainder 149 |
| 2 | 167 ÷ 149 = 1 remainder 18 |
| 3 | 149 ÷ 18 = 8 remainder 5 |
| 4 | 18 ÷ 5 = 3 remainder 3 |
| 5 | 5 ÷ 3 = 1 remainder 2 |
| 6 | 3 ÷ 2 = 1 remainder 1 |
| 7 | 2 ÷ 1 = 2 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 17 and 199 | 3383 |
| 41 and 34 | 1394 |
| 181 and 163 | 29503 |
| 181 and 139 | 25159 |
| 57 and 109 | 6213 |